Volume and Surface Area Practice Question and Answer
8 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?
1709 05f2bd2e7cef453383f2278cc
5f2bd2e7cef453383f2278cc- 17:15false
- 28:7false
- 37:10true
- 47:12false
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Answer : 3. "7:10"
Q: In the given figure if each of the outer circles have radii ‘R’, then the radius of the inner circle will be:
1708 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: 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.
1707 05ec5fa30980ff60a66c36242
5ec5fa30980ff60a66c36242- 13.696 kgtrue
- 23.6 kgfalse
- 336 kgfalse
- 436.9 kgfalse
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Answer : 1. "3.696 kg "
Q: The area of square field is $$ ({69696})^{2}$$. Its diagonal will be equal to (use √2 = 1.414)
1702 05ec5f8ab0d983803ea4e510b
5ec5f8ab0d983803ea4e510b- 1313.296 mfalse
- 2353.296 mfalse
- 3373.296 mtrue
- 4393.296 mfalse
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Answer : 3. "373.296 m "
Q: The ratio of the areas of two circles is 16: 25. What will be the ratio of their circumferences?
1694 05f76bab1e487e60dced7c88c
5f76bab1e487e60dced7c88c- 14 : 5true
- 23 : 2false
- 34 : 9false
- 49 : 4false
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Answer : 1. "4 : 5 "
Q: Find the area of a white sheet required to prepare a cone with a height of 21cm and the radius of 20cm.
1690 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: 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 ?
1689 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: How much parts of the pits, which are 48 meters long, 16.5 meters wide and 4 meters deep, can be filled in the soil, which is obtained by cylindrical tunnel of 4 meters diameter and 56 meters long?
1685 05f4df6cd82369c1d6113def5
5f4df6cd82369c1d6113def5- 1$$ {1\over 9}$$false
- 2$$ {2\over 9}$$true
- 3$$ {7\over 9}$$false
- 4$$ {8\over 9}$$false
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