In the diagram above, a cylinder is summounted by a hemisphere bowl. Calculate the volume of the solid.
- A.
180 πcm^{3} - B.
162 πcm^{3} - C.
216 πcm^{3} - D.
198 πcm^{3}
Correct Answer: Option D
Explanation
Volume of cylinder = πr^{2}h
= π x 3^{2} x 20
= π x 9 x 20
= 180 πcm^{3}
Volume of hemisphere = ^{2}/_{3πr3}
= ^{2}/_{3} x π x 3^{2}
= 2 x π x 3^{2}
= 2 x π x 9
= 18π
= Volume of the solid = 180π x 18π
= 198πcm^{3}