Volume and Surface Area Questions Practice Question and Answer
8 Q: From a right cone of height h and with base radius r a cone has been cut of from the centre of the height. The volume of remaining frustum of the cone is.
1330 05f8016fb0a69ab3becc7d418
5f8016fb0a69ab3becc7d418- 1$$ {1\over3}π{r^{2}}h$$false
- 2$$ {1\over24}π{r^{2}}h$$false
- 3$$ {7\over24}π{r^{2}}h$$true
- 4$$ {1\over8}π{r^{2}}h$$false
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Answer : 3. "$$ {7\over24}π{r^{2}}h$$"
Q: The area of a triangle is 24 square cm. If one side of it is 4 cm, what will be the height of the triangle?
1329 05fa91e0a3c64cb3fb8e8b417
5fa91e0a3c64cb3fb8e8b417- 115 cmfalse
- 218 cmfalse
- 324 cmfalse
- 412 cmtrue
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Answer : 4. "12 cm"
Q: A corner of a cube of side length 8 m. When cut by a plane which bisects the sides of the cube, we get a pyramid whose volume is :
1322 1600a99fa7cf1e8512ed397f5
600a99fa7cf1e8512ed397f5- 18.37 m3false
- 210.67 m3true
- 311.20 m3false
- 49.68 m3false
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Answer : 2. "10.67 m3 "
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:
1313 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 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:
1299 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?
1290 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: The total surface area of a hemisphere is 166.32 sq cm, find its radius?
1286 05f0e762d1090a058653e57e0
5f0e762d1090a058653e57e0- 14.2 cmtrue
- 28.4 cmfalse
- 31.4 cmfalse
- 42.1 cmfalse
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Answer : 1. "4.2 cm"
Q: What is the total CSA of cone whose radius is 3 cm and height is 4 cm?
1283 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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