Volume and Surface Area Questions Practice Question and Answer
8 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 :
465 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 hollow copper pipe is 22 cm long and its external diameter is 28 cm. If the thickness of the pipe is 3 cm and iron weighs 8.5 g/cm3 , then the weight of the pipe is closest to:
477 060bf5d44c40f0c12f4b8e7c1
60bf5d44c40f0c12f4b8e7c1- 134 kgfalse
- 244 kgtrue
- 314 kgfalse
- 424 kgfalse
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Answer : 2. "44 kg"
Q: The perimeter of an isosceles, right angled triangle is 2p unit. The area of the same triangle is
516 060b7166dcef13e72bbf9983c
60b7166dcef13e72bbf9983c- 1$$ {(3-2\sqrt{2})}{\ p^{2}} sq.unit $$true
- 2$$ {(2+\sqrt{2})}{\ p^{2}} sq.unit $$false
- 3$$ {(2-\sqrt{2})}{\ p^{2}} sq.unit $$false
- 4$$ {(3-\sqrt{2})}{\ p^{2}} sq.unit $$false
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Answer : 1. "$$ {(3-2\sqrt{2})}{\ p^{2}} sq.unit $$"
Q: In the given figure if each of the outer circles have radii ‘R’, then the radius of the inner circle will be:
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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 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 -
563 060b6e1d32f692872ec8c9f7b
60b6e1d32f692872ec8c9f7b- 112540false
- 213500true
- 324400false
- 411600false
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Answer : 2. "13500"
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 :
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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: Find the area of triangle whose medians are 8 cm, 15 cm and 17 cm respectively?
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60a7a50dc7f1592dd0d64cf3- 1$$20 cm^2$$true
- 2$$15 cm^2$$false
- 3$$24 cm^2$$false
- 4$$28 cm^2$$false
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Answer : 1. "$$20 cm^2$$"
Q: The radii of three concentric circles are in the ratio of 4 : 5 : 7. What is the ratio of the area between the two inner circles to that between the two outer circles?
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609cd380e941dd6183d59933- 14 : 7false
- 23 : 8true
- 34 : 5false
- 45 : 9false
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