Question

The diagram shows a plastic solid made by joining a hemisphere to a cone. The radius of the hemisphere is 5cm and the height of the cone is 12cm.

i) Calculate the volume of the solid.

ii) Calculate the total surface area of the solid.

Answer 1

575.8 cubic cm

Explanation:

V(cone) = 1/3· π · r² · h

V = 1/3 · π · 25 · 12

V = 4(25)π or 100π = 314

V(half-sphere) = (4/3 · π r³)/2

V = (4/3π · 125) = 261.8