Volume and Surface Area Practice Question and Answer
8 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:
1191 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?
1188 05f0e762d1090a058653e57e0
5f0e762d1090a058653e57e0- 14.2 cmtrue
- 28.4 cmfalse
- 31.4 cmfalse
- 42.1 cmfalse
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Answer : 1. "4.2 cm"
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.
1185 05fe1ba524c864b4aa0de327f
5fe1ba524c864b4aa0de327f- 155 sq.cmtrue
- 240 sq.cmfalse
- 345 sq.cmfalse
- 490 sq.cmfalse
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Answer : 1. "55 sq.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?
1179 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: If the area of a triangle is 616 square cm, then its perimeter will be-
1175 05f97fb0cd433054b5c8adf3f
5f97fb0cd433054b5c8adf3f- 188 cmtrue
- 244 cmfalse
- 3132 cmfalse
- 4161 cmfalse
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Answer : 1. "88 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 -
1171 060b6e1d32f692872ec8c9f7b
60b6e1d32f692872ec8c9f7b- 112540false
- 213500true
- 324400false
- 411600false
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Answer : 2. "13500"
Q: The curved surface area of a cylindrical pillar is $$ {264 m^{2}}$$ and its volume is $$ {924 m^{3}}$$. Find the ratio of its diameter to its height.
1169 05fd34d9cc46a213fc5c57945
5fd34d9cc46a213fc5c57945- 13 : 7false
- 27 : 3true
- 36 : 7false
- 47 : 6false
- 55 : 4false
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Answer : 2. "7 : 3"
Q: What is the area of a rectangle , if its diagonal s 61 cm and one of its sides is 11 cm ?
1162 05ed9d016f528050f914ffaa6
5ed9d016f528050f914ffaa6- 1$$ 660cm^2$$true
- 2$$ 720cm^2$$false
- 3$$ 616cm^2$$false
- 4$$ 633cm^2$$false
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