Volume and Surface Area Questions Practice Question and Answer
8 Q: A conical vessel whose internal radius is 12 cm and height 50 cm. is full of liquid. The contents are emptied into a cylindrical vessel with radius (internal) 10 cm. The height to which the liquid rises in the cylindrical vessel is-
780 0602259f2ad295556282a1862
602259f2ad295556282a1862- 125 cmfalse
- 220 cmfalse
- 324 cmtrue
- 422 cmfalse
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Answer : 3. "24 cm"
Q: A semicircle is folded to make a cone. Find the height (in cm) of the cone if diameter of the semicircle is 28 cm?
762 0601a4f64552e5f41f7b07047
601a4f64552e5f41f7b07047- 1$$ {7\sqrt{3}}$$true
- 2$$ {14\sqrt{3}}$$false
- 3$$ {7\sqrt{5}}$$false
- 4$$ {7\sqrt{13}}$$false
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Answer : 1. "$$ {7\sqrt{3}}$$"
Q: In a circle, difference between the circumference and radius is 37 cm. Find the area (in cm²) of the circle?
697 06019075765f04759038196e1
6019075765f04759038196e1- 1616false
- 2154true
- 3308false
- 477false
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Answer : 2. "154 "
Q: A spherical ball of lead 3 cm in diameter is melted and recast into three spherical balls The diameter of two of these are 1.5 cm and 2 cm respectively. The diameter of the third ball is
776 060113124af82aa3010a223e5
60113124af82aa3010a223e5- 11.4 cmfalse
- 21.8 cmfalse
- 32.1 cmfalse
- 42.5 cmtrue
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Answer : 4. "2.5 cm"
Q: An open box is made of wood 3 cm thick. Its external dimensions are 1.36 m, 1.06 m and 8.3 dm. The cost of painting the inner surface of the box at 50 paise per 100 sq. cm (in Rs.) is
1046 0601130db7fb81d03bf7d24a9
601130db7fb81d03bf7d24a9- 1232false
- 2246false
- 3249true
- 4256false
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Answer : 3. "249 "
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
959 0601130617fb81d03bf7d1e03
601130617fb81d03bf7d1e03- 16.5false
- 27false
- 35false
- 46true
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Answer : 4. "6"
Q: A right pyramid stands on a rectangular base whose sides are 24 cm and 18 cm and on the shorter side, the slant height is 17 cm. Find the volume of the pyramid.
1005 0600e9625377d750b4eb4b481
600e9625377d750b4eb4b481- 11735.5 cm3false
- 21152 cm3true
- 31733.5 cm3false
- 41752 cm3false
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Answer : 2. "1152 cm3"
Q: A rectangular grass plot 80 m × 60 m has two roads, each 10 m wide, running in the middle of it; one parallel to length and the other parallel to breadth. Find the cost of gravelling the roads at ₹ 2 per m2.
877 0600e8d83178b94051cdf9081
600e8d83178b94051cdf9081- 1₹ 2600true
- 2₹ 2680false
- 3₹ 2580false
- 4₹ 2500false
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