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Mathematics : Surface Areas and Volumes

Multiple Choice Questions

271. Total surface area of a cube is 96 cm². Volume of the cube will be:

8 cm³
512 cm³
64 cm³
64 cm³

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272. A cone and a hemisphere have equal bases and equal volumes. The ratio of their heights is:

2 : 1
1 : 2
2 : 3
2 : 3

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273. If total surface area of a cube is equal to its volume then each side of the cube is:

6 units
1 units
2 units
2 units

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274. A semi-circle is folded to form a cone. The radius OA will form:

height of the cone
slant height of the cone
circumference of the base
circumference of the base

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275. If diameter of a sphere in doubled, then its surface area will be:

same
doubled
four times
four times

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276. The radius of a spherical balloon increases from 7 cm to 14 cm as air is being pumped into it. Then the ratio of surface areas of the original balloon to the resulting new balloon is:

4 : 1
2 : 1
1 : 4
1 : 4

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277. If height and radius of a cone are h and r respectively and it is given that height of the cone is same as diameter of the base, then slant height will be:

$square root of straight r squared plus straight h squared end root$
$rh square root of 5$
$square root of 5 straight r$
$square root of 5 straight r$

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278. If height of a right circular cylinder is 15 cm and volume is 2310 cm³, then radius of the base, using

straight pi equals 22 over 7

will be:

7 cm
10 cm
14 cm
14 cm

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279. The radii of two right circular cylinders are in the ratio 2 : 3 and their heights are in the ratio 5 : 4. Then the ratio of their volumes will be:

20 : 27
5 : 9
17 : 27
17 : 27

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280. The diameter of a cone is 14 cm and its slant height is a 9 cm. Area of the curved surface will be:

$220 over 7 space cm squared$
$198 over 7 space cm squared$
220 cm²
220 cm²

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