Volume and Surface Area Practice Question and Answer
8 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 -
1043 060b6e1d32f692872ec8c9f7b
60b6e1d32f692872ec8c9f7b- 112540false
- 213500true
- 324400false
- 411600false
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Answer : 2. "13500"
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:
1042 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?
1040 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:
1037 06007f1151187ab386914c33b
6007f1151187ab386914c33b- 115.2false
- 214.8true
- 315.6false
- 414.2false
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Answer : 2. "14.8"
Q: What is total surface area of a cone where, r’ is radius and ‘l’ is slant height?
1033 05eccef537bb74b48ff93a881
5eccef537bb74b48ff93a881- 1πr (l + r)true
- 22πr (l+r)false
- 3πrlfalse
- 4false
π
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Answer : 1. "πr (l + r) "
Q: A conical vessel whose internal radius is 12 cm and height 50 cm. is full of liquid. The contents are emptied into a cylindrical vessel with radius (internal) 10 cm. The height to which the liquid rises in the cylindrical vessel is-
1030 0602259f2ad295556282a1862
602259f2ad295556282a1862- 125 cmfalse
- 220 cmfalse
- 324 cmtrue
- 422 cmfalse
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Answer : 3. "24 cm"
Q: If the area of a triangle is 616 square cm, then its perimeter will be-
1022 05f97fb0cd433054b5c8adf3f
5f97fb0cd433054b5c8adf3f- 188 cmtrue
- 244 cmfalse
- 3132 cmfalse
- 4161 cmfalse
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Answer : 1. "88 cm "
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?
1022 05ecf3a9b79d67a247e487706
5ecf3a9b79d67a247e487706- 13:1true
- 22:1false
- 34:1false
- 45:1false
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