Volume and Surface Area Practice Question and Answer
8 Q: If the length of the diagonal of a square is $${ 10\sqrt{2}}$$ cm, then what will be the area of the square?
1797 0610c00e7997056628330e202
610c00e7997056628330e202- 1200 cm2false
- 2100 cm2true
- 3$${ 100\sqrt{2}}$$false
- 450 cm2false
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Answer : 2. "100 cm2"
Q: In the given figure if each of the outer circles have radii ‘R’, then the radius of the inner circle will be:
1796 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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Answer : 3. "$$ {(\sqrt{2}-1)R}$$"
Q: Find the area of a white sheet required to prepare a cone with a height of 21cm and the radius of 20cm.
1781 05ee9a0a9109b5d6e01625396
5ee9a0a9109b5d6e01625396- 1$$ {3080}cm^2$$true
- 2$$ {2300}cm^2$$false
- 3$$ {3460}cm^2$$false
- 4$$ {3600}cm^2$$false
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Answer : 1. "$$ {3080}cm^2$$"
Q: The ratio of curved surface area and volume of a cylinder is 1 : 7. The ratio of total surface area and volume is 187 : 770. What is the respective ratio of its base radius and height?
1781 05f2bd2e7cef453383f2278cc
5f2bd2e7cef453383f2278cc- 17:15false
- 28:7false
- 37:10true
- 47:12false
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Answer : 3. "7:10"
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 ?
1777 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: 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_
1775 05f2cfd3221de6a117aeff4a7
5f2cfd3221de6a117aeff4a7- 13080true
- 24090false
- 34095false
- 45000false
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Answer : 1. "3080 "
Q: A hollow iron pipe is 21 cm long and its exterior diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weights $$ 8 g/cm^3 $$, then the weight of the pipe ($$ π= {22\over7}$$) is.
1773 05ec5fa30980ff60a66c36242
5ec5fa30980ff60a66c36242- 13.696 kgtrue
- 23.6 kgfalse
- 336 kgfalse
- 436.9 kgfalse
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Answer : 1. "3.696 kg "
Q: The length of a hollow thick cylindrical metallic pipe is 6 cm and its total surface area including the surface at the ends is 98π sq. cm. If the outer diameter is 8 cm, then the inner diameter in cm is
1773 0601130617fb81d03bf7d1e03
601130617fb81d03bf7d1e03- 16.5false
- 27false
- 35false
- 46true
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