Volume and Surface Area Practice Question and Answer
8 Q: The area of the base of a right circular cone is 400π and its height is 15 cm. The curved surface of the cone ( in cm2) is:
1306 05f40ddd354900c5349e9ce36
5f40ddd354900c5349e9ce36- 1560 πfalse
- 2500 πtrue
- 3450 πfalse
- 4480 πfalse
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Answer : 2. "500 π"
Q: A conical vessel of radius 6 cm and height 8 cm. is completely filled with water. A sphere is lowered into the water and its size is such that when it touches the sides, it is just immersed. The fraction of water that overflows is?
1300 0600a99b71187ab38691ebf0a
600a99b71187ab38691ebf0a- 1$$ {1\over 4}$$false
- 2$$ {1\over 2}$$false
- 3$$ {3\over 8}$$true
- 4$$ {5\over 8}$$false
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Answer : 3. "$$ {3\over 8}$$"
Q: What is the total CSA of cone whose radius is 3 cm and height is 4 cm?
1299 05e9d2b8b772f97276f50ca91
5e9d2b8b772f97276f50ca91- 1$$ { 24 π cm^2}$$true
- 2$$ { 25 π cm^2}$$false
- 3$$ { 28 π cm^2}$$false
- 4$$ { 20 π cm^2}$$false
- 5None of thesefalse
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Answer : 1. "$$ { 24 π cm^2}$$"
Q: The total surface area of a hemisphere is 166.32 sq cm, find its radius?
1294 05f0e762d1090a058653e57e0
5f0e762d1090a058653e57e0- 14.2 cmtrue
- 28.4 cmfalse
- 31.4 cmfalse
- 42.1 cmfalse
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Answer : 1. "4.2 cm"
Q: The base of right prism is a trapezium whose parallel sides are 11 cm and 15 cm and the distance between them is 9 cm. If the volume of the prism is 1731.6 cm3, then the height (in cm) of the prism will be:
1291 06007f1151187ab386914c33b
6007f1151187ab386914c33b- 115.2false
- 214.8true
- 315.6false
- 414.2false
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Answer : 2. "14.8"
Q:Directions: Bar graph given below shows pens sold by a retailor on five different days. Study the data carefully and answer the following questions.

Sum of volume of cylinder (S) and volume off cone (C) is 2190𝝅 cm² & height of both cylinder and cone is same i.e, 10 cm. If radius of cone is 15 cm then find the ratio of radius of S to radius of C?
1291 0619f56c802f30f77f96539bd
619f56c802f30f77f96539bd
- 11 : 2false
- 23 : 4false
- 32 : 5false
- 44 : 5true
- 53 : 5false
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Answer : 4. "4 : 5"
Q: A spherical ball of lead 3 cm in diameter is melted and recast into three spherical balls The diameter of two of these are 1.5 cm and 2 cm respectively. The diameter of the third ball is
1286 060113124af82aa3010a223e5
60113124af82aa3010a223e5- 11.4 cmfalse
- 21.8 cmfalse
- 32.1 cmfalse
- 42.5 cmtrue
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Answer : 4. "2.5 cm"
Q: A solid metallic cylinder of base radius 3 cm. and height 5 cm. is melted to form cones, each of height 1 cm. and base radius 1 mm. The number of cones is -
1280 060b6e1d32f692872ec8c9f7b
60b6e1d32f692872ec8c9f7b- 112540false
- 213500true
- 324400false
- 411600false
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