Question

Find the volume of the composite solid
I REALLY NEED HELP BEFORE I GO TO 1ST HOUR!!!!!

Answer 1

The volume of the composite solid is the total volume of the cube and the hemisphere.

a = side.

V(cube) = a x a x a = 8 x 8 x 8 = 512 (cm3)

V(hemisphere) = 2/3
`\pi`r
`r^(3)` (r = 1/2a in this case) = 2/3 x 64 x
`\pi` = 128/3
`\pi`

Therefore, the total volume = 8/3
`\pi` + 512 = 646.0 (cm3) (nearest tenth)