10TH CBSE QUIZ Surface Area and Volume 10 MCQ Tests × 10 Questions = 100 Questions

Surface Area and Volume

10 MCQ Tests × 10 Questions = 100 Questions

Class 10 Mathematics practice tests based on the uploaded Surface Area And Volume question-and-answer PDF. fileciteturn17file0L2-L6

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TEST 1

Surface Area & Volume — Test 1

10 Questions

Q1. The number of solid spheres, each of diameter 6 cm, that can be made by melting a solid metal cylinder of height 45 cm and diameter 4 cm is:

A3B5C4D6

Correct Answer: Option B — 5

Q2. A sphere of diameter 18 cm is completely submerged in a cylindrical vessel of diameter 36 cm. The rise in water level is:

A3 cmB4 cmC5 cmD6 cm

Correct Answer: Option A — 3 cm

Q3. A cone is cut at the middle of its height by a plane parallel to its base. The ratio of the volume of the smaller cone to the whole cone is:

A1 : 2B1 : 4C1 : 6D1 : 8

Correct Answer: Option D — 1 : 8

Useful Resource: CBSE Class 10 Science

Q4. The curved surface area of a cylinder of height 5 cm is 94.2 cm². Taking π = 3.14, its radius is:

A2 cmB3 cmC2.9 cmD6 cm

Correct Answer: Option B — 3 cm

Q5. The area of metal sheet required to make a closed hollow cylinder of height 2.4 m and radius 0.7 m is:

A10.56 m²B13.52 m²C13.64 m²D14.08 m²

Correct Answer: Option A — 10.56 m²

Q6. The curved surface area of a cone having height 24 cm and radius 7 cm is:

A528 cm²B1056 cm²C550 cm²D500 cm²

Correct Answer: Option C — 550 cm²

Useful Resource: All Subjects Study Materials

Q7. A cubical ice-cream brick of edge 22 cm is used to fill cones of radius 2 cm and height 7 cm up to the brim. The number of children who get cones is:

A163B263C363D463

Correct Answer: Option C — 363

Q8. A bucket has circular ends of radii 35 cm and 14 cm and height 40 cm. Its volume is:

A60060 cm³B80080 cm³C70040 cm³D80160 cm³

Correct Answer: Option B — 80080 cm³

Q9. A solid is hemispherical at the bottom and conical above. If the curved surface areas of the two parts are equal, the ratio of radius to the conical height is:

A1 : 3B1 : √3C1 : 1D√3 : 1

Correct Answer: Option B — 1 : √3

Useful Resource: Ravi Test Papers

Q10. The surface area of a sphere equals the curved surface area of a cylinder whose height and diameter are both 12 cm. The radius of the sphere is:

A3 cmB4 cmC6 cmD12 cm

Correct Answer: Option C — 6 cm

TEST 2

Surface Area & Volume — Test 2

10 Questions

Q1. A mason constructs a wall of dimensions 270 cm × 300 cm × 350 cm. Bricks are 22.5 cm × 11.25 cm × 8.75 cm and one-eighth of the wall is occupied by mortar. The number of bricks is:

A11100B11200C11000D11300

Correct Answer: Option B — 11200

Q2. A right triangle with sides 3 cm, 4 cm and 5 cm is rotated about the side of length 3 cm. The volume of the cone formed is:

A12π cm³B15π cm³C16π cm³D20π cm³

Correct Answer: Option C — 16π cm³

Q3. A surahi, as described in the source, is a combination of:

AA sphere and a cylinderBA hemisphere and a cylinderCA cylinder and a coneDTwo hemispheres

Correct Answer: Option A — A sphere and a cylinder

Useful Resource: All Subjects Study Materials

Q4. The radii of two cylinders are in the ratio 3 : 5 and their heights are in the ratio 2 : 3. Their curved surface areas are in the ratio:

A2 : 5B5 : 2C2 : 3D3 : 5

Correct Answer: Option A — 2 : 5

Q5. The shape of a gilli in gilli-danda is a combination of:

AA cone and a cylinderBTwo cylindersCTwo cones and a cylinderDTwo cylinders and a cone

Correct Answer: Option C — Two cones and a cylinder

Q6. A hollow cube of internal edge 22 cm is filled with spherical marbles of diameter 0.5 cm, with one-eighth of the cube remaining unfilled. Approximately how many marbles can it accommodate?

A142296B142396C142496D142596

Correct Answer: Option A — 142296

Useful Resource: Ravi Test Papers

Q7. The radii of two cylinders are in the ratio 2 : 3 and their heights are in the ratio 5 : 3. The ratio of their volumes is:

A27 : 20B20 : 27C4 : 9D9 : 4

Correct Answer: Option B — 20 : 27

Q8. A medicine capsule is a cylinder of diameter 0.5 cm with a hemisphere at each end. Its total length is 2 cm. Its capacity is approximately:

A0.36 cm³B0.35 cm³C0.34 cm³D0.33 cm³

Correct Answer: Option A — 0.36 cm³

Q9. The volume ratio of two cylinders with radii 2x, 3x and heights 5y, 3y respectively is:

A20 : 27B27 : 20C4 : 9D9 : 4

Correct Answer: Option A — 20 : 27

Useful Resource: CBSE Class 10 English

Q10. A cylindrical pencil sharpened at one edge is a combination of:

AA hemisphere and a cylinderBA cone and a hemisphereCA frustum of a cone and a cylinderDA cone and a cylinder

Correct Answer: Option D — A cone and a cylinder

TEST 3

Surface Area & Volume — Test 3

10 Questions

Q1. A plumbline (sahul), as described in the source, is a combination of:

AA hemisphere and a cylinderBA hemisphere and a coneCA sphere and a cylinderDA cone and a cylinder

Correct Answer: Option B — A hemisphere and a cone

Q2. Three metallic spheres of radii 6 cm, 8 cm and 10 cm are melted to form one sphere. The diameter of the new sphere is:

A12 cmB24 cmC30 cmD36 cm

Correct Answer: Option B — 24 cm

Q3. The capacity of a bucket with circular ends of diameters 44 cm and 24 cm and height 35 cm is:

A32.7 litresB33.7 litresC34.7 litresD31.7 litres

Correct Answer: Option A — 32.7 litres

Useful Resource: Ravi Test Papers

Q4. Volumes of two spheres are in the ratio 64 : 27. Their surface areas are in the ratio:

A3 : 4B4 : 3C9 : 16D16 : 9

Correct Answer: Option D — 16 : 9

Q5. If two solid hemispheres of the same base radius r are joined along their bases, the curved surface area of the new solid is:

A4πr²B2πr²C3πr²D8πr²

Correct Answer: Option A — 4πr²

Q6. In a right circular cone, the cross-section made by a plane parallel to its base is a:

ACircleBFrustum of a coneCSphereDHemisphere

Correct Answer: Option A — Circle

Useful Resource: CBSE Class 10 English

Q7. A cylindrical vessel 32 cm high and radius 18 cm is filled with sand and emptied to form a conical heap of height 24 cm. The radius of the heap is:

A12 cmB24 cmC36 cmD48 cm

Correct Answer: Option C — 36 cm

Q8. The surface areas of two spheres are in the ratio 16 : 9. Their volumes are in the ratio:

A64 : 27B16 : 9C4 : 3D8 : 9

Correct Answer: Option A — 64 : 27

Q9. The cost of painting a cubical box of side 3 m at Rs. 2 per square metre is:

ARs. 120BRs. 125CRs. 112DRs. 108

Correct Answer: Option D — Rs. 108

Useful Resource: Ravi Test Papers .in

Q10. A cylinder has diameter 28 cm and height 20 cm. Its total surface area, using π = 22/7, is:

A2992 cm²B2993 cm²C2292 cm²D2229 cm²

Correct Answer: Option A — 2992 cm²

TEST 4

Surface Area & Volume — Test 4

10 Questions

Q1. How many bags of grain can be stored in a cuboidal granary of dimensions 8 m × 6 m × 3 m if each bag occupies 0.64 m³?

A8256B90C212D225

Correct Answer: Option D — 225

Q2. A cylindrical cone sharpened on both edges is a combination of:

AA frustum and a cylinderBTwo cones and a cylinderCA cone and a hemisphereDA hemisphere and a cylinder

Correct Answer: Option B — Two cones and a cylinder

Q3. A wall is 5 times as high as it is broad and 8 times as long as it is high. If its volume is 128 m³, its breadth is:

A30 cmB40 cmC22.5 cmD25 cm

Correct Answer: Option B — 40 cm

Useful Resource: CBSE Class 10 English

Q4. A right circular cylinder of radius r and height h, where h = 2r, just encloses a sphere. The diameter of the sphere is:

A3rBrC2rD4r

Correct Answer: Option C — 2r

Q5. A cylindrical pencil sharpened at one end is a combination of:

AA cylinder and a coneBA cylinder and a frustumCA cylinder and a hemisphereDTwo cylinders

Correct Answer: Option A — A cylinder and a cone

Q6. The ratio of the surface areas of two spheres whose volumes are in the ratio 64 : 27 is:

A1 : 2B2 : 3C9 : 16D16 : 9

Correct Answer: Option D — 16 : 9

Useful Resource: Ravi Test Papers .in

Q7. Water flows at 10 m per minute through a cylindrical pipe of diameter 5 mm. How long will it take to fill a conical vessel of base diameter 40 cm and depth 24 cm?

A48 min 15 secB51 min 12 secC52 min 1 secD55 min

Correct Answer: Option B — 51 min 12 sec

Q8. The volumes of two cubes are in the ratio 1 : 27. Their surface areas are in the ratio:

A1 : 3B1 : 8C1 : 9D1 : 18

Correct Answer: Option C — 1 : 9

Q9. The area of the base of a rectangular tank is 6500 cm² and it contains 2.6 m³ of water. The depth of water is:

A3.5 mB4 mC5 mD8 m

Correct Answer: Option B — 4 m

Useful Resource: CBSE Class 10 Maths

Q10. If the radius of a sphere becomes 3 times, its volume becomes:

A3 timesB6 timesC9 timesD27 times

Correct Answer: Option D — 27 times

TEST 5

Surface Area & Volume — Test 5

10 Questions

Q1. Twelve spheres of equal size are made by melting a cylinder of diameter 16 cm and height 2 cm. The diameter of each sphere is:

A1 cmB2 cmC3 cmD4 cm

Correct Answer: Option D — 4 cm

Q2. A shuttlecock used for badminton is a combination of:

AA cylinder and a sphereBA cylinder and a hemisphereCA sphere and a coneDA frustum of a cone and a hemisphere

Correct Answer: Option D — A frustum of a cone and a hemisphere

Q3. The curved surface area of a cylinder is 264 m² and its volume is 924 m³. The ratio of its diameter to height is:

A3 : 7B7 : 3C6 : 7D7 : 6

Correct Answer: Option B — 7 : 3

Useful Resource: Ravi Test Papers .in

Q4. The diameter of the base of a cylinder is 4 cm and its height is 14 cm. Its volume is:

A176 cm³B196 cm³C276 cm³D352 cm³

Correct Answer: Option A — 176 cm³

Q5. Twelve solid spheres of the same size are made by melting a metallic cylinder of diameter 2 cm and height 16 cm. The diameter of each sphere is:

A4 cmB3 cmC2 cmD6 cm

Correct Answer: Option C — 2 cm

Q6. The volume of a cube is 2744 cm³. Its surface area is:

A196 cm²B1176 cm²C784 cm²D588 cm²

Correct Answer: Option B — 1176 cm²

Useful Resource: CBSE Class 10 Maths

Q7. A solid cuboid of dimensions 49 cm × 33 cm × 24 cm is moulded into a sphere. The radius of the sphere is:

A21 cmB23 cmC25 cmD19 cm

Correct Answer: Option A — 21 cm

Q8. A spherical ball of radius R is melted to make 8 identical balls of radius r. The ratio R : r is:

A2 : 1B1 : 2C4 : 1D1 : 4

Correct Answer: Option A — 2 : 1

Q9. The total surface area of a hemisphere of radius 7 cm is:

A588π cm²B392π cm²C147π cm²D98π cm²

Correct Answer: Option C — 147π cm²

Useful Resource: CBSE Class 10 Social Science

Q10. The curved surface area of a cylinder is 1760 cm² and its base radius is 14 cm. Its height is:

A10 cmB15 cmC20 cmD40 cm

Correct Answer: Option C — 20 cm

TEST 6

Surface Area & Volume — Test 6

10 Questions

Q1. The diameter of a cylinder is 28 cm and its height is 20 cm. Using π = 22/7, its total surface area is:

A2992 cm²B2993 cm²C2292 cm²D2229 cm²

Correct Answer: Option A — 2992 cm²

Q2. A bucket has radii 35 cm and 14 cm at its circular ends and height 40 cm. Its volume is:

A60060 cm³B80080 cm³C70040 cm³D80160 cm³

Correct Answer: Option B — 80080 cm³

Q3. If four times the sum of the areas of the two circular faces of a cylinder of height 8 cm equals twice its curved surface area, the diameter is:

A4 cmB8 cmC2 cmD6 cm

Correct Answer: Option B — 8 cm

Useful Resource: CBSE Class 10 Maths

Q4. The surface area of a sphere is 4πr². If its radius is doubled, the surface area becomes:

A2 timesB3 timesC4 timesD8 times

Correct Answer: Option C — 4 times

Q5. The volume of a sphere is (4/3)πr³. If its radius is doubled, its volume becomes:

A2 timesB4 timesC6 timesD8 times

Correct Answer: Option D — 8 times

Q6. The curved surface area of a cylinder is 2πrh. If the height is doubled with radius unchanged, the CSA becomes:

AHalfBSameCTwiceDFour times

Correct Answer: Option C — Twice

Useful Resource: CBSE Class 10 Social Science

Q7. The total surface area of a cube of edge a is:

A3a²B4a²C6a²D8a²

Correct Answer: Option C — 6a²

Q8. The volume of a cube of edge a is:

A3a³B6a³Ca³Da²

Correct Answer: Option C — a³

Q9. The volume of a cuboid of dimensions l, b and h is:

Al+b+hB2(lb+bh+hl)ClbhDlb+h

Correct Answer: Option C — lbh

Useful Resource: RAVI MATHS TUITION CENTRE YouTube

Q10. The total surface area of a cuboid is:

AlbhB2(lb+bh+hl)Clb+bh+hlD2(l+b+h)

Correct Answer: Option B — 2(lb+bh+hl)

TEST 7

Surface Area & Volume — Test 7

10 Questions

Q1. The volume of a cylinder of radius r and height h is:

A2πrhBπr²hCπrh²Dπr³

Correct Answer: Option B — πr²h

Q2. The curved surface area of a cylinder is:

Aπr²hB2πrhC2πr²Dπrl

Correct Answer: Option B — 2πrh

Q3. The total surface area of a cylinder is:

A2πrhB2πr(h+r)Cπr(h+r)Dπr²h

Correct Answer: Option B — 2πr(h+r)

Useful Resource: CBSE Class 10 Social Science

Q4. The volume of a cone of radius r and height h is:

Aπr²hB2πr²hC(1/3)πr²hDπrh

Correct Answer: Option C — (1/3)πr²h

Q5. The curved surface area of a cone of slant height l and radius r is:

Aπr²BπrlC2πrlD(1/3)πr²h

Correct Answer: Option B — πrl

Q6. The volume of a sphere of radius r is:

Aπr²B2πr³C(4/3)πr³D4πr²

Correct Answer: Option C — (4/3)πr³

Useful Resource: RAVI MATHS TUITION CENTRE YouTube

Q7. The surface area of a sphere of radius r is:

Aπr²B2πr²C3πr²D4πr²

Correct Answer: Option D — 4πr²

Q8. The curved surface area of a hemisphere of radius r is:

Aπr²B2πr²C3πr²D4πr²

Correct Answer: Option B — 2πr²

Q9. The total surface area of a hemisphere of radius r is:

A2πr²B3πr²C4πr²Dπr²

Correct Answer: Option B — 3πr²

Useful Resource: CBSE Class 10 Science

Q10. A sphere of radius 6 cm is melted to form a sphere of radius 3 cm. How many smaller spheres are formed?

A2B4C8D16

Correct Answer: Option C — 8

TEST 8

Surface Area & Volume — Test 8

10 Questions

Q1. If the radius of a cylinder is halved while height remains unchanged, its volume becomes:

AHalfBOne-fourthCDoubleDFour times

Correct Answer: Option B — One-fourth

Q2. If the height of a cylinder is tripled while radius remains unchanged, its volume becomes:

AOne-thirdBSameCThree timesDNine times

Correct Answer: Option C — Three times

Q3. If all dimensions of a cube are doubled, its volume becomes:

A2 timesB4 timesC6 timesD8 times

Correct Answer: Option D — 8 times

Useful Resource: RAVI MATHS TUITION CENTRE YouTube

Q4. If all dimensions of a cube are doubled, its surface area becomes:

A2 timesB4 timesC6 timesD8 times

Correct Answer: Option B — 4 times

Q5. A sphere and a cylinder have equal radii and the same height equal to the sphere's diameter. The ratio of their volumes is:

A1 : 1B2 : 3C2 : 1D3 : 2

Correct Answer: Option B — 2 : 3

Q6. A cone and a cylinder have the same base radius and height. The ratio of their volumes is:

A1 : 2B1 : 3C2 : 3D3 : 1

Correct Answer: Option B — 1 : 3

Useful Resource: CBSE Class 10 Science

Q7. A hemisphere and a cylinder have the same radius and equal heights equal to r. The ratio of their volumes is:

A1 : 1B2 : 3C1 : 2D3 : 2

Correct Answer: Option A — 1 : 1

Q8. A frustum of a cone has radii R and r and height h. Its volume is:

Aπh(R+r)B(1/3)πh(R²+r²+Rr)CπRrhD(1/3)πR²h

Correct Answer: Option B — (1/3)πh(R²+r²+Rr)

Q9. The volume of a frustum with R = 22 cm, r = 12 cm and h = 35 cm is approximately:

A32.7 LB22.7 LC42.7 LD52.7 L

Correct Answer: Option A — 32.7 L

Useful Resource: All Subjects Study Materials

Q10. A cone has radius 7 cm and height 24 cm. Its slant height is:

A23 cmB24 cmC25 cmD26 cm

Correct Answer: Option C — 25 cm

TEST 9

Surface Area & Volume — Test 9

10 Questions

Q1. For a cone with r = 7 cm and l = 25 cm, its curved surface area using π = 22/7 is:

A525 cm²B550 cm²C575 cm²D600 cm²

Correct Answer: Option B — 550 cm²

Q2. A cylinder has radius 14 cm and height 20 cm. Its curved surface area using π = 22/7 is:

A1760 cm²B1540 cm²C880 cm²D2992 cm²

Correct Answer: Option A — 1760 cm²

Q3. A cube of edge 14 cm has volume:

A196 cm³B1176 cm³C2744 cm³D3844 cm³

Correct Answer: Option C — 2744 cm³

Useful Resource: CBSE Class 10 Science

Q4. A cuboid 49 cm × 33 cm × 24 cm is converted into a sphere without loss of material. The radius is:

A19 cmB21 cmC23 cmD25 cm

Correct Answer: Option B — 21 cm

Q5. The ratio of volumes of spheres is 64 : 27. The ratio of their radii is:

A2 : 3B3 : 2C4 : 3D16 : 9

Correct Answer: Option C — 4 : 3

Q6. The ratio of surface areas of spheres whose radii are 4 : 3 is:

A4 : 3B8 : 9C16 : 9D64 : 27

Correct Answer: Option C — 16 : 9

Useful Resource: All Subjects Study Materials

Q7. The ratio of volumes of spheres whose radii are 4 : 3 is:

A4 : 3B16 : 9C64 : 27D9 : 16

Correct Answer: Option C — 64 : 27

Q8. A cylinder of radius 2 cm and height 45 cm is melted into spheres of radius 3 cm. The number of spheres formed is:

A4B5C6D8

Correct Answer: Option B — 5

Q9. A cylinder of radius 1 cm and height 16 cm is melted into 12 equal spheres. The radius of each sphere is:

A1/2 cmB1 cmC2 cmD3 cm

Correct Answer: Option B — 1 cm

Useful Resource: Ravi Test Papers

Q10. A rectangular tank has base area 6500 cm² and contains 2.6 m³ water. Its water depth is:

A2 mB3 mC4 mD5 m

Correct Answer: Option C — 4 m

TEST 10

Surface Area & Volume — Test 10

10 Questions

Q1. A cylindrical pipe of diameter 5 mm carries water at 10 m/min. Its volume of flow per minute is approximately:

A0.196 LB0.785 LC1.96 LD7.85 L

Correct Answer: Option A — 0.196 L

Q2. A cube has edge 22 cm. If one-eighth of its volume is empty, the volume occupied is:

A1331 cm³B6655 cm³C9317 cm³D10648 cm³

Correct Answer: Option C — 9317 cm³

Q3. A granary measures 8 m × 6 m × 3 m. Its volume is:

A48 m³B96 m³C144 m³D192 m³

Correct Answer: Option C — 144 m³

Useful Resource: All Subjects Study Materials

Q4. A cube of side 3 m is painted on all six faces at Rs. 2 per m². The cost is:

ARs. 54BRs. 108CRs. 162DRs. 216

Correct Answer: Option B — Rs. 108

Q5. The ratio of the volumes of two cubes is 1 : 27. The ratio of their edges is:

A1 : 3B1 : 9C1 : 27D3 : 1

Correct Answer: Option A — 1 : 3

Q6. The ratio of the surface areas of two cubes whose edges are in the ratio 1 : 3 is:

A1 : 3B1 : 6C1 : 9D1 : 27

Correct Answer: Option C — 1 : 9

Useful Resource: Ravi Test Papers

Q7. The ratio of the volumes of two cubes whose edges are in the ratio 1 : 3 is:

A1 : 3B1 : 6C1 : 9D1 : 27

Correct Answer: Option D — 1 : 27

Q8. A cylinder has diameter 4 cm and height 14 cm. Using π = 22/7, its volume is:

A176 cm³B196 cm³C352 cm³D88 cm³

Correct Answer: Option A — 176 cm³

Q9. A cone with r = 4 cm and h = 3 cm has volume:

A12π cm³B16π cm³C20π cm³D24π cm³

Correct Answer: Option B — 16π cm³

Useful Resource: CBSE Class 10 English

Q10. A sphere of radius 9 cm has volume:

A243π cm³B486π cm³C972π cm³D1458π cm³

Correct Answer: Option C — 972π cm³

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