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13. Surface Areas and Volumes
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Q12 of 56 Page 13

The volume of a hemi-sphere is . Find its curved surface area. (CBSE 2012)

Volume of hemi-sphere




⇒ r = 10.5 cm


Curved surface area



= 693 cm2

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10

A metallic sphere of radius 10.5 cm is melted and then recast into smaller cones, each of radius 3.5 cm and height 3 cm. How many cones are obtained? (CBSE 2012)

11

A solid is hemispherical at the bottom and conical (of same radius) above it. If the surface areas of the two parts are equal then the ratio of its radius and the slant the height of the conical part is (CBSE 2012)

13

An wooden toy is made by scooping out a hemisphere of same radius from each end of a solid cylinder. If the height of the cylinder is 10 cm, and its base is of radius 3.5 cm, find the volume of wood in the toy. (CBSE 2013)

14

In Fig. 16.57, from a cuboidal solid metallic block, of dimensions 15 cm × 10 cm × 5 cm, a cylindrical hole of diameter 7 cm is drilled out. Find the surface area of the remaining block.

(CBSE 2015)

Questions · 56
13. Surface Areas and Volumes
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