Question

A solid hemisphere of radius 3cm is melted to cast a right circular cone of the same base as that of hemisphere. Find the height of the cone

Answer 1

Dimensions of hemisphere:

r=3cm

Dimensions of cone:

r=3cm

ATQ

Vol of cone = Vol of hemisphere

1\3*πr²h = 2\3πr^3

πr²h = 2\3 πr^3 *  3

h = 2πr^3\πr²

h = 2r

h = 2(3)

h = 6cm

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