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
36πcm 3
54πcm 2
18πcm 2
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
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