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Question

A solid is in the shape of a cone standing on a hemisphere with both their radii being equal to 7 cm and the height of the cone is equal to its diameter. Find the volume of the solid. [Use π=227].

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Solution

Given: radius =7 cm, height=14 cm
Volume of hemisphere = 23πr3
=23×227×73
=718.66 cm2
Volume of cone = 13πr2h
=13×227×72×14
=718.66 cm3
Total volume = Volume of hemisphere + Volume of cone
=718.66+718.66=1437.32 cm3

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