In the diagram above, a cylinder is summounted by a hemisphere bowl. Calculate the volume of the solid.
- 180 πcm3
- 162 πcm3
- 216 πcm3
-
198 πcm3
The correct answer is: D
Explanation
Volume of cylinder = πr2h= π x 32 x 20
= π x 9 x 20
= 180 πcm3
Volume of hemisphere = 2/3πr3
= 2/3 x π x 32
= 2 x π x 32
= 2 x π x 9
= 18π
= Volume of the solid = 180π x 18π
= 198πcm3