This is the last one i swear

V = 756π cm³

Step-by-step explanation:

The solid shape consists of a cone and a semi sphere

To calculate the volume of the semi sphere we require to find its radius r

Given

volume of cone = 270π , then

πr²h = 270π ( multiply both sides by 3 to clear the fraction )

πr²h = 810π ( divide both sides by π )

r²h = 810

from diagram h = 10

10r² = 810 ( divide both sides by 10 )

r² = 81 ( take square root of both sides )

r = = 9

Volume of semi sphere = πr³

                                       = π × 9³

                                       = π × 729

                                      = 2π × 243

                                      = 486π

The volume (V) of the solid shape

V = 270π + 486π = 756π cm³

Step-by-step explanation:

The radio of the cone:

The half sphere (has the same radio):

The volume of the solid shape:

Hope this helps

c

step-by-step explanation: