Volume and Surface Area Practice Question and Answer
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?
1136 05ecf3a9b79d67a247e487706
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: 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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Answer : 1. "πr (l + r) "
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.
1131 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 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-
1116 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-
1111 05f97fb0cd433054b5c8adf3f
5f97fb0cd433054b5c8adf3f- 188 cmtrue
- 244 cmfalse
- 3132 cmfalse
- 4161 cmfalse
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Answer : 1. "88 cm "
Q:Directions: Bar graph given below shows pens sold by a retailor on five different days. Study the data carefully and answer the following questions.

Sum of volume of cylinder (S) and volume off cone (C) is 2190𝝅 cm² & height of both cylinder and cone is same i.e, 10 cm. If radius of cone is 15 cm then find the ratio of radius of S to radius of C?
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619f56c802f30f77f96539bd
- 11 : 2false
- 23 : 4false
- 32 : 5false
- 44 : 5true
- 53 : 5false
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