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13. Surface Areas and Volumes
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Q1 of 51 Page 13

Find total surface area of a solid hemi-sphere of radius 7cm.

Given:

radius = 7 cm


To find: Total surface area.


Formula Used: Total surface area of hemisphere = 3πr2


Explanation:


For radius = 7 cm,



= 3× 22× 7


= 462 cm2


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24

If the radii of the circular ends of a conical bucket which is 45 cm high are 28 cm and 7 cm, find the capacity of the bucket.

(Use π = 22/7)

25

A spherical ball of radius 3 cm is melted and recast into three spherical balls. The radii of the two of the balls are 1.5 cm and 2 cm respectively. Determine the diameter of the third ball.

2

Find the volume of the largest right circular cone that can be cut out of a cube whose edge is 9 cm.

3

The radius of the base of the right circular cylinder is halved, and the height is kept same. Find the ratio of the volume of the cylinder thus obtained to the volume of the original cylinder.

Questions · 51
13. Surface Areas and Volumes
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