The diagram shows a solid shape. The volume of the cone is 270pi cm^3. Work out the volume of the solid shape. Give your answer in terms of pi.

756π cm^3.

Step-by-step 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.