Volume and Surface Area Practice Question and Answer
8 Q: In the given figure, PQRS is square whose side is 8 cm. PQS and QPR are two quadrants. A circle is placed touching both the quadrants and the square as shown in the figure. What is the area ( in cm2 ) of the circle ?

1326 0600a891dbaeda263c3c8673f
600a891dbaeda263c3c8673f- 1$$ {19\over 39}$$false
- 2$$ {20\over 21}$$false
- 3$$ {11\over 14}$$true
- 4$$ {11\over 19}$$false
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Answer : 3. "$$ {11\over 14}$$"
Q: An iron pipe 20 cm long has exterior diameter 25 cm. If the thickness of the pipe is 1 cm, then the whole surface area of the pipe?
1318 05f59d091b772fe2f8b223a57
5f59d091b772fe2f8b223a57- 1$$ {3168\ cm^{2}}$$true
- 2$$ {3186\ cm^{2}}$$false
- 3$$ {3200\ cm^{2}}$$false
- 4$$ {3150\ cm^{2}}$$false
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Answer : 1. "$$ {3168\ cm^{2}}$$"
Q: In the given figure, the ratio of the area of the largest square to that of the smallest square is:

1314 05ffc2dbf6557c73c86cd43e5
5ffc2dbf6557c73c86cd43e5- 13 : 1false
- 24 : 1false
- 3$$ {\sqrt{2}:1}$$true
- 42 : 1false
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Answer : 3. "$$ {\sqrt{2}:1}$$"
Q: A rectangular ground 16m long and 10m breadth. It has a gravel path 2.5m wide all around it on the outside. What is the area of the path?
1306 05ee9a2a2b1ffa91fd4a38c62
5ee9a2a2b1ffa91fd4a38c62- 1159 m²false
- 2155 m²true
- 3187 m²false
- 4183 m²false
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Answer : 2. "155 m²"
Q: If the length of the diagonal of a square is $${ 10\sqrt{2}}$$ cm, then what will be the area of the square?
1304 0610c00e7997056628330e202
610c00e7997056628330e202- 1200 cm2false
- 2100 cm2true
- 3$${ 100\sqrt{2}}$$false
- 450 cm2false
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Answer : 2. "100 cm2"
Q: The ratio of the areas of two circles is 16: 25. What will be the ratio of their circumferences?
1292 05f76bab1e487e60dced7c88c
5f76bab1e487e60dced7c88c- 14 : 5true
- 23 : 2false
- 34 : 9false
- 49 : 4false
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Answer : 1. "4 : 5 "
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?
1292 05f97f1d5d433054b5c8a7d4a
5f97f1d5d433054b5c8a7d4a- 112:11false
- 214:11true
- 36:11false
- 47:11false
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Answer : 2. "14:11"
Q: A right circular cylinder is formed by rolling a rectangular sheet of metal of length 44 cm and breath 20 cm along its length. The volume of cylinder is_
1290 05f2cfd3221de6a117aeff4a7
5f2cfd3221de6a117aeff4a7- 13080true
- 24090false
- 34095false
- 45000false
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