Question 34
Mensuration of SolidsIn the diagram above, a cylinder is surmounted by a hemispherical bowl. Calculate the volume of the solid.
- A.180πcm3
- B.162πcm3
- C.216πcm3
- D.198πcm3
Show the answer and explanation
Answer: D (198πcm3)
Explanation
The radius is 3 cm and the cylinder is 20 cm high. Cylinder: π × 9 × 20 = 180π; hemisphere: (2/3)π × 27 = 18π. Total 198π cm3.