Volume and Surface Area Practice Question and Answer
8 Q: If the perimeter of a circular plot is equal to the perimeter of a square plot, what will be the ratio of their areas?
1497 05f97f1d5d433054b5c8a7d4a
5f97f1d5d433054b5c8a7d4a- 112:11false
- 214:11true
- 36:11false
- 47:11false
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Answer : 2. "14:11"
Q: From a circle of radius a, a sector, which subtend an angle π/5 at the centre has been cut off. The perimeter of the remaining part of the circle is
1496 05f8016aa0a69ab3becc7d2bf
5f8016aa0a69ab3becc7d2bf- 12πafalse
- 2$$ {π\over 5}{a}$$false
- 3$$ {7π\over 5}{a}$$false
- 4$$ {9π\over 5}{a}$$true
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Answer : 4. "$$ {9π\over 5}{a}$$"
Q: The area covered by a square is 308 square cm. The length of the diagonal of the square is.
1496 05f9be3d8d433054b5ca011ed
5f9be3d8d433054b5ca011ed- 116 cmfalse
- 228 cmtrue
- 324 cmfalse
- 422 cmfalse
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Answer : 2. "28 cm "
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:
1495 05f59cf9bb772fe2f8b2230a0
5f59cf9bb772fe2f8b2230a0- 12:9:2false
- 24:9:1false
- 34: 27:2true
- 42 : 3: 1false
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Answer : 3. "4: 27:2"
Q: If the areas of circular ring having inner and outer radius 8 cm and 12 cm respectively is equal to the total surface area of cylinder of radius R1 and height h, then h in terms of R1 will be :
1493 060b6101727bd974fe7f5d7a5
60b6101727bd974fe7f5d7a5- 1$$ {40-R_1\over {R_1}}$$false
- 2$$ {40-R_1\over {R_1^{2}}}$$false
- 3$$ {40-R_1^{2}}\over R_1$$true
- 4None of thesefalse
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Answer : 3. "$$ {40-R_1^{2}}\over R_1$$"
Q: In the figure given below, AD bisects ∠BAC. If the area of ΔABD=40 cm2 and AC=3AB, then the area of ΔABC:

1493 05f59ce72b772fe2f8b222a04
5f59ce72b772fe2f8b222a04
- 1$$ {150 \ cm^{2}}$$false
- 2$$ {100 \ cm^{2}}$$false
- 3$$ {120 \ cm^{2}}$$true
- 4$$ {160 \ cm^{2}}$$false
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Answer : 3. "$$ {120 \ cm^{2}}$$"
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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Answer : 4. "4 : 5"
Q: One side of the rectangular ground is 8m and its diagonal is 17m. Find the area of the ground?
1490 05ee9a728bc81cb2528ec0497
5ee9a728bc81cb2528ec0497- 1150 m²false
- 2140 m²false
- 3130 m²false
- 4120 m²true
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