Question

The diagram shows a solid shape...

Answer 1

756π cm^3.

Explanation:

Volume of the cone

270π = 1/3 π r^2 h

270π = 1/3 π r^2 * 10

r^2 = 270 / ( 10/3 )

r^2 = 81

r = 9 cm.

So the volume of the hemisphere = 1/2 * 4/3 * π * 9^3

= 486π cm^3.

So the volume of the whole solid = 270π + 486π

= 756 π cm^3.