SURFACE AREAS AND VOLUMES Class IX

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Quiz 1 Compiled by Mrs. Pintu Prasad

1. The radius of a sphere is 2r, then its volume will be

2 points

(A)4/ 3πr^3

(B) 4πr^3

(D) 32/3πr^3

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2. The total surface area of a cube is 96 cm^2. The volume of the cube is

2 points

(A) 8 cm^3

(B) 512 cm^3

(D) 27 cm^3

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3. A cone is 8.4 cm high and the radius of its base is 2.1 cm. It is melted and recast into a sphere. The radius of the sphere is

2 points

(A) 4.2 cm

(B) 2.1 cm

(D) 1.6 cm

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4. In a cylinder, radius is doubled and height is halved, curved surface area will be

2 points

(A) halved

(B) doubled

(D) four times

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5. The total surface area of a cone whose radius is r/2 and slant height 2l is

2 points

(A) 2πr (l + r)

(B) πr (l + r/4)

(D) 2πrl

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6. The radii of two cylinders are in the ratio of 2:3 and their heights are in the ratio of5:3. The ratio of their volumes is

2 points

(A) 10 : 17

(B) 20 : 27

(D) 20 : 37

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7. The lateral surface area of a cube is 256 m^2. The volume of the cube is

2 points

(A) 512 m^3

(B) 64 m^3

(D) 256 m^3

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8. The number of planks of dimensions (4 m × 50 cm × 20 cm) that can be stored in a pit which is 16 m long, 12m wide and 4 m deep is

2 points

(A) 1900

(B) 1920

(D) 1840

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9. The length of the longest pole that can be put in a room of dimensions(10 m × 10 m × 5m) is

2 points

(A) 15 m

(B) 16 m

(D) 12 m

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10.The radius of a hemispherical balloon increases from 6 cm to 12 cm as air is being pumped into it. The ratios of the surface areas of the balloon in the two cases is

2 points

(A) 1 : 4

(B) 1 : 3

(D) 2 : 1

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