Volume and Surface Area Practice Question and Answer
8 Q: In a circle of radius 17 cm, two parallel chords of lengths 30 cm. and 16 cm are drawn. If both the chords are on the same side of the center, then the distance between the chords is -
1156 0609a6719f738a51c29ae2b02
609a6719f738a51c29ae2b02- 17 cm.true
- 217 cm.false
- 39 cm.false
- 423 cm.false
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Answer : 1. "7 cm. "
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 :
1153 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 polygon has 9 sides, what is its interior angle?
1151 05feee6ea1f464d740159f217
5feee6ea1f464d740159f217- 1140 degreetrue
- 2100 degreefalse
- 3120 degreefalse
- 440 degreefalse
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Answer : 1. "140 degree"
Q: A solid sphere of diameter 17.5 cm is cut into two equal halves. What will be the increase (in cm2) in the total surface area?
1149 05f2e3cbf8c86ab1da00043b1
5f2e3cbf8c86ab1da00043b1- 1289false
- 2616false
- 3962.56false
- 4481.056true
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Answer : 4. "481.056"
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:
1147 06007f1151187ab386914c33b
6007f1151187ab386914c33b- 115.2false
- 214.8true
- 315.6false
- 414.2false
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Answer : 2. "14.8"
Q: In a triangle, ABC, P and Q are points on AB and AC, respectively, such that AP = 1 cm, PB = 3 cm, AQ = 1.5 cm, and CQ = 45 cm. If the area of ΔAPQ is 12 $${{cm^2}}$$, then find the area of BPQC.

1140 064ccb807b6a5e472e27f3fa1
64ccb807b6a5e472e27f3fa1
- 1$${{192cm^2}}$$false
- 2$${{182cm^2}}$$false
- 3$${{190cm^2}}$$false
- 4$${{180cm^2}}$$true
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Answer : 4. "$${{180cm^2}}$$"
Q: A conical vessel of radius 6 cm and height 8 cm. is completely filled with water. A sphere is lowered into the water and its size is such that when it touches the sides, it is just immersed. The fraction of water that overflows is?
1140 0600a99b71187ab38691ebf0a
600a99b71187ab38691ebf0a- 1$$ {1\over 4}$$false
- 2$$ {1\over 2}$$false
- 3$$ {3\over 8}$$true
- 4$$ {5\over 8}$$false
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Answer : 3. "$$ {3\over 8}$$"
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 -
1137 060b6e1d32f692872ec8c9f7b
60b6e1d32f692872ec8c9f7b- 112540false
- 213500true
- 324400false
- 411600false
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