Volume and Surface Area Questions Practice Question and Answer
8 Q: A right triangle with sides 5 cm, 12 cm and 13 cm is rotated about the side 12 cm to from a cone. The volume of the cone so formed is :
1191 060c08c42e3298a2dec40d26d
60c08c42e3298a2dec40d26d- 1$$ {81 π \ cm^{3}}$$false
- 2$$ {100 π \ cm^{3}}$$true
- 3$$ {91 π \ cm^{3}}$$false
- 4$$ {110 π \ cm^{3}}$$false
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Answer : 2. "$$ {100 π \ cm^{3}}$$"
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?
1190 05f2e3cbf8c86ab1da00043b1
5f2e3cbf8c86ab1da00043b1- 1289false
- 2616false
- 3962.56false
- 4481.056true
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Answer : 4. "481.056"
Q: What is total surface area of a cone where, r’ is radius and ‘l’ is slant height?
1181 05eccef537bb74b48ff93a881
5eccef537bb74b48ff93a881- 1πr (l + r)true
- 22πr (l+r)false
- 3πrlfalse
- 4$$ 2πrl^2$$false
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Answer : 1. "πr (l + r) "
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:
1179 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 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:
1178 06007f1151187ab386914c33b
6007f1151187ab386914c33b- 115.2false
- 214.8true
- 315.6false
- 414.2false
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Answer : 2. "14.8"
Q: The total surface area of a hemisphere is 166.32 sq cm, find its radius?
1175 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 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?
1175 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: Find the area of a quadrilateral whose diagonal is 10 cm. And the length of the length put on it is 6 cm and 5 cm respectively.
1166 05fe1ba524c864b4aa0de327f
5fe1ba524c864b4aa0de327f- 155 sq.cmtrue
- 240 sq.cmfalse
- 345 sq.cmfalse
- 490 sq.cmfalse
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