Volume and Surface Area Questions Practice Question and Answer
8 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
467 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
510 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
471 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.
702 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.
592 0600e8d83178b94051cdf9081
600e8d83178b94051cdf9081- 1₹ 2600true
- 2₹ 2680false
- 3₹ 2580false
- 4₹ 2500false
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Answer : 1. "₹ 2600 "
Q: A field is in the form of an equilateral triangle of side 100 m. A horse is tied to a vertex of the field, with a 15 m long rope. Over what area can the horse graze?
886 0600e8d0b377d750b4eb46a19
600e8d0b377d750b4eb46a19- 1117.85 m²true
- 2119.85 m²false
- 3117.35 m²false
- 4119.35 m2false
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Answer : 1. "117.85 m² "
Q: A shuttlecock used of playing badminton has the shape of a frustum of a cone mounted on a semi sphere. The external diameters of the frustum are 5 cm and 2 cm, the height of the entire shuttlecock is 7 cm. The external surface is of the shuttlecock is:
501 0600a9eb5baeda263c3c906b6
600a9eb5baeda263c3c906b6- 167.98 sq.cmfalse
- 274.26 sq.cmtrue
- 370 sq.cmfalse
- 472 sq.cmfalse
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Answer : 2. "74.26 sq.cm"
Q: A cylindrical container is filled with ice cream. Its diameter is 12 cm. and height is 15 cm. The whole ice cream is distributed among 10 children in equal cones having hemispherical tops. If the height of the conical portion is twice the diameter of its base, the diameter of the ice - cream cone is –
499 0600a9a3dbaeda263c3c8f1e8
600a9a3dbaeda263c3c8f1e8- 18 cmfalse
- 25 cmfalse
- 37 cmfalse
- 46 cmtrue
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