Volume and Surface Area Practice Question and Answer
8 Q: Area of a circle inscribed in a square is 308 cm2.The length of the diagonal of the square is
1342 06116240d56340c20700ac888
6116240d56340c20700ac888- 116 cmfalse
- 228 cmtrue
- 324 cmfalse
- 422 cmfalse
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Answer : 2. "28 cm"
Q: The length, breadth and height of a room is 21 metres, 12 metres and 16 metres. What will be the length of the largest rod that can be placed in that room?
1154 0610c66037588510aa0d4d2f3
610c66037588510aa0d4d2f3- 132 metresfalse
- 225 metresfalse
- 331 metresfalse
- 429 metrestrue
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Answer : 4. "29 metres"
Q: The height of a cone is 16 cm and radius of its base is 30 cm. If the rate of painting it is Rs.14/cm2, then what will be the total cost in painting the curved surface of cone from outside?
1413 0610c067aa0824f7eeb5cabf0
610c067aa0824f7eeb5cabf0- 1Rs. 42220false
- 2Rs. 44880true
- 3Rs. 36820false
- 4Rs.46540false
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Answer : 2. "Rs. 44880"
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:
1076 060c09b7f3a55aa3a4ad09e08
60c09b7f3a55aa3a4ad09e08- 1169 π m2false
- 2172 π m2false
- 3165 π m2false
- 4180 π m2true
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Answer : 4. "180 π m2"
Q: A right triangle with sides 5 cm, 12 cm and 13 cm is rotated about the side 12 cm to from a cone. The volume of the cone so formed is :
1151 060c08c42e3298a2dec40d26d
60c08c42e3298a2dec40d26d- 1$$ {81 π \ cm^{3}}$$false
- 2$$ {100 π \ cm^{3}}$$true
- 3$$ {91 π \ cm^{3}}$$false
- 4$$ {110 π \ cm^{3}}$$false
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Answer : 2. "$$ {100 π \ cm^{3}}$$"
Q: A hollow copper pipe is 22 cm long and its external diameter is 28 cm. If the thickness of the pipe is 3 cm and iron weighs 8.5 g/cm3 , then the weight of the pipe is closest to:
1100 060bf5d44c40f0c12f4b8e7c1
60bf5d44c40f0c12f4b8e7c1- 134 kgfalse
- 244 kgtrue
- 314 kgfalse
- 424 kgfalse
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Answer : 2. "44 kg"
Q: The perimeter of an isosceles, right angled triangle is 2p unit. The area of the same triangle is
1071 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: In the given figure if each of the outer circles have radii ‘R’, then the radius of the inner circle will be:

1258 060b70e3f2f692872ec8cf7cc
60b70e3f2f692872ec8cf7cc- 1$$ {2\over ({\sqrt{2}+1})R}$$false
- 2$$ {1\over {\sqrt{2}}}R$$false
- 3$$ {(\sqrt{2}-1)R}$$true
- 4$$ {\sqrt{2}R}$$false
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