Volume and Surface Area Questions Practice Question and Answer
8 Q: A solid sphere of diameter 17.5 cm is cut into two equal halves. What will be the increase (in cm2) in the total surface area?
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5f2e3cbf8c86ab1da00043b1- 1289false
- 2616false
- 3962.56false
- 4481.056true
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Answer : 4. "481.056"
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:
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6007f1151187ab386914c33b- 115.2false
- 214.8true
- 315.6false
- 414.2false
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Answer : 2. "14.8"
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?
1139 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: Two cones have their heights in the ratio 1:3 and the radii of their bases in the ratio 3:1. Find the ratio of their volumes?
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5ecf3a9b79d67a247e487706- 13:1true
- 22:1false
- 34:1false
- 45:1false
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Answer : 1. "3:1"
Q: The heights of a cone, cylinder and hemisphere are equal. If their radii are in the ratio 2:3:1, then the ratio of their volumes is:
1136 05f59cf9bb772fe2f8b2230a0
5f59cf9bb772fe2f8b2230a0- 12:9:2false
- 24:9:1false
- 34: 27:2true
- 42 : 3: 1false
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Answer : 3. "4: 27:2"
Q: The total surface area of a hemisphere is 166.32 sq cm, find its radius?
1135 05f0e762d1090a058653e57e0
5f0e762d1090a058653e57e0- 14.2 cmtrue
- 28.4 cmfalse
- 31.4 cmfalse
- 42.1 cmfalse
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Answer : 1. "4.2 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 -
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60b6e1d32f692872ec8c9f7b- 112540false
- 213500true
- 324400false
- 411600false
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Answer : 2. "13500"
Q: What is total surface area of a cone where, r’ is radius and ‘l’ is slant height?
1132 05eccef537bb74b48ff93a881
5eccef537bb74b48ff93a881- 1πr (l + r)true
- 22πr (l+r)false
- 3πrlfalse
- 4$$ 2πrl^2$$false
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