Question

Find the volume of the compound shape.​

Answer 1

sphere:

= 33.51 m^3

cylinder:

= 75.40 m^3

all together:

= 108.91 m^3

Answer 2

Given:

• Hemisphere ×2 or sphere
• Cylinder

Solution:

Volume of the sphere:

`v = (4)/(3) \pi {r}^(3)`

`v = (4)/(3) * \pi * {2}^(3)`

`v = 33.51 \: {m}^(3)`

Volume of the cylinder:

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

`v = \pi * {2}^(2) * 6`

`v = 75.40 \: {m}^(3)`

Total volume:

`v = 75.40 + 33.51`

`v = 108.91 \: {m}^(3)`

Hence, the volume of the given compound shape is 108.91 cubic meters.