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Surface Areas and Volumes

Multiple Choice Questions

241. The radius of a sphere is r and the base radius and height of a cylinder are r and 2r respectively. The ratio of the volumes of sphere and cylinder is

2 : 3
3 : 4
4 : 3
4 : 3

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242. The slant height of a right circular cone is 17 cm and the radius is 8 cm. The measure of the height of the cone is

9 cm
15 cm
20 cm
20 cm

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243. The height of a right circular cone is 16 cm and the base radius is 12 cm. The measure of the slant height of the cone is

18 cm
20 cm
25 cm
25 cm

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244. The diameter of a sphere is d. Its volume is
$1 third πd cubed$
$1 over 24 πd cubed$
$4 over 3 πd cubed$
$4 over 3 πd cubed$

4 over 3 πd cubed

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245. The volume of a right circular cone of height 14 cm is 168π cm³. The radius of the cone is

6 cm
12 cm
8 cm
8 cm

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246.

The ratio of the radii of two spheres is 4 : 5. The ratio of their whole surface areas is

4 : 5
$2 space colon space square root of 5$
5 : 4
5 : 4

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247. The ratio of the surface areas of the two spheres is 16 : 49. The ratio of their radii is

7 : 4
4 : 7
8 : 24.5
8 : 24.5

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248. The heights of two right circular cylinders are the same. Their volumes are 16π m³and 81 π m³ respectively. The ratio of their base radii is

16 : 81
4 : 9
2 : 3
2 : 3

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249. The internal and external radii of a semi-spherical cup are r₁ and r₂ respectively. The curved surface area of the cup is

$straight pi$ (r₁,² + r₂²)
2 $straight pi$ (r₁² + r₂²)
2 $straight pi$ (r₂² – r₁²)
2 $straight pi$ (r₂² – r₁²)

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250. The ratio of the volumes of the two spheres is 1 : 27. The ratio of their radii is

1 : 3
1 : 9
3 : 1
3 : 1

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