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SAI International School
CLASS - X

Mathematics
CHAPTER-12: SA and Volumes-1

Worksheet-1

SUBTOPIC: SA & VOL of Combination of Solids

Choose the correct answer from the following (Questions 1-4)

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1.The volume of a sphere is 4851 cm . Its diameter is:
(a) 3.5 cm (b) 7 cm (c) 14 cm (d) 21 cm

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2. The surface area of a sphere is 616 cm . Its radius is:
(a) 7 cm (b) 14 cm (c) 21 cm (d) 28 cm

3. The radius (in cm) of the largest right circular cone that can be cut out from a cube of
edge 4.2 cm is :
(a) 4.2 (b) 2.1 (c) 8.1 (d) 1.05

4. How many bags of grain can be stored in a cuboid granary 12 m × 6 m × 5 m, If each bag
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occupies a space of 0.48 m ?
(a) 750 (b) 75 (c) 1500 (d) 375

Fill in the Blanks

5. A solid is hemispherical at the bottom and
conical (of same radius) above it. If the surface areas of the two parts are equal, then the
ratio of its radius and the slant height of the conical part is ____

6. Two cylindrical cans have equal base areas. If one of the can is 15 cm high and other is 20
cm high, the ratio of their volumes is ________

7. A joker’s cap is in the form of a right circular cone of base radius 7 cm and the slant height
2
is 25 cm. [π = 227].The area of the cap is ______cm

8. A cube of side 6 cm is cut into a number of cubes, each of side 2 cm. The number of cubes
will be ______ .

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