Mathematics

In the diagram above, a cylinder is summounted by a hemisphere bowl. Calculate the volume…

In the diagram above, a cylinder is summounted by a hemisphere bowl. Calculate the volume of the solid.
  • A.
    180 πcm3
  • B.
    162 πcm3
  • C.
    216 πcm3
  • D.
    198 πcm3
Correct Answer: Option 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