In the diagram above, a cylinder is summounted by a hemisphere bowl. Calculate the volume of the solid.
Attached Figure / Diagram
A
180 πcm3
B
162 πcm3
C
216 πcm3
D
198 πcm3
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
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
Source: Myschool Past Questions Archive (Record #10929)