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In the figure, a solid consists of a hemisphere surmounte...

In the figure, a solid consists of a hemisphere surmounted by a right circular cone, with radius 3.0cm and height 6.0cm. Find the volume of the solid

In the figure, a solid consists of a hemisphere surmounted by a right circular cone, with radius 3.0cm and height 6.0cm. Find the volume of the solid

A.

36πcm 3

B.

54πcm 2

C.

18πcm 2

D.

108πcm 2

Correct answer is A

The volume of the solid = vol. of cone + vol. of hemisphere

volume of cone = 13πr2h

= 1π3×(3)2x6=18πcm2

vol. of hemisphere = 4πr36=2πr33

= 2π3×(3)3=18πcm3

vol. of solid = 18π + 18π

= 36πcm3