Question

Find the volume of the compound shape.​

Answer 1

half of a sphere:

=56.55 cm^3

cone:

=94.25 cm^3

all together:

150.80 cm^3

Answer 2

Volume of the hemisphere:

`v = (2)/(3) \pi {r}^(3)`

`v = (2)/(3) * \pi * {3}^(3)`

`v = 56.55 \: {cm}^(3)`

Volume of the cone:

`v = (1)/(3) \pi {r}^(2) h`

`v = (1)/(3) * \pi * {3}^(2) * 10`

`v = 94.25 \: {cm}^(3)`

Total volume:

`v = 56.55 + 94.25`

`v = 150.80 \: {cm}^(3)`

Therefore, the volume of the compound shape is 150.80 cubic centimeters.