the solid is just a sphere (the two hemispheres make up one) plus a cylinder, so to find the volume of the shape, we must calculate the volume of the cylinder and then the volume of the sphere, and add those two values up.

the volume of a sphere is (4/3) · π · r^3.

so to find the volume of the sphere, we do (4/3) · π · 3^3 = (4/3) · π · 27 = 4 · π · 9 = 36π !

the volume of a cylinder is π · r^2 · h.

so to find the volume of the cylinder, we do π · 3^2 · (12 - 6) = π · 9 · 6 = 54π !

now to solve the volume of the composite solid, we simply just do 54π + 36π to get 90π.

**90π = 282.6.**

hope this helped! please let me know if you are confused about anything i did :)