Volume and Surface Area Questions Practice Question and Answer
8 Q: The covered surface area of a cone of radius 8 cm and height 6 cm is double the covered surface area of a cylinder of radius 4 cm. Find the height of the cylinder?
1356 05f2cfa82be9f31290fb86050
5f2cfa82be9f31290fb86050- 15 cmtrue
- 28 cmfalse
- 310 cmfalse
- 412 cmfalse
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Answer : 1. "5 cm"
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:
1353 05f40ddd354900c5349e9ce36
5f40ddd354900c5349e9ce36- 1560 πfalse
- 2500 πtrue
- 3450 πfalse
- 4480 πfalse
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Answer : 2. "500 π"
Q: The perimeter of an isosceles, right angled triangle is 2p unit. The area of the same triangle is
1348 060b7166dcef13e72bbf9983c
60b7166dcef13e72bbf9983c- 1$$ {(3-2\sqrt{2})}{\ p^{2}} sq.unit $$true
- 2$$ {(2+\sqrt{2})}{\ p^{2}} sq.unit $$false
- 3$$ {(2-\sqrt{2})}{\ p^{2}} sq.unit $$false
- 4$$ {(3-\sqrt{2})}{\ p^{2}} sq.unit $$false
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Answer : 1. "$$ {(3-2\sqrt{2})}{\ p^{2}} sq.unit $$"
Q: The total surface area of a hemisphere is 166.32 sq cm, find its radius?
1347 05f0e762d1090a058653e57e0
5f0e762d1090a058653e57e0- 14.2 cmtrue
- 28.4 cmfalse
- 31.4 cmfalse
- 42.1 cmfalse
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Answer : 1. "4.2 cm"
Q: Base of a right pyramid is a square. The length of diagonal of the base is $$ {12\sqrt{2}}$$ cm. If each lateral surface of the pyramid is an equilateral triangle, then its volume (in cu.cm) is
1346 060055250f5c84e7440611306
60055250f5c84e7440611306- 1$$ {288\sqrt{3}}$$true
- 2$$ {208\sqrt{2}}$$false
- 3$$ {288\sqrt{2}}$$false
- 4288false
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Answer : 1. "$$ {288\sqrt{3}}$$"
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 -
1346 060b6e1d32f692872ec8c9f7b
60b6e1d32f692872ec8c9f7b- 112540false
- 213500true
- 324400false
- 411600false
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Answer : 2. "13500"
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-
1345 0602259f2ad295556282a1862
602259f2ad295556282a1862- 125 cmfalse
- 220 cmfalse
- 324 cmtrue
- 422 cmfalse
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Answer : 3. "24 cm"
Q: The slant height of a right circular cone is 15 m and its height is 9 m. The area of its curved surface, is:
1342 060c09b7f3a55aa3a4ad09e08
60c09b7f3a55aa3a4ad09e08- 1169 π m2false
- 2172 π m2false
- 3165 π m2false
- 4180 π m2true
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