Question

Find the volume of the compound shape​

Answer 1

v of hemisphere:

2/3 pi r^3

v of cylinder:

pi r^2 h

total:

add both the value

apply the formula and try

Answer 2

Given:

• Hemisphere
• Cylinder

Volume of the hemisphere:

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

`v = (2)/(3) * \pi * {1.5}^(3)`

`v = 7.07 \: {cm}^(3)`

Volume of the cylinder:

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

`v = \pi * {1.5}^(2) * 4`

`v = 28.27 \: {cm}^(3)`

Total volume:

`v = 7.07 + 28.27`

`v = 35.34 \: {cm}^(3)`

Hence, the volume of the given compound shape is 35.34 cubic centimeters.