Question

Find the volume of the compound shape​

Answer 1

Given:

• Hemisphere
• Cylinder

Volume of the hemisphere:

$v = \frac{2}{3} \pi {r}^{3}$

$v = \frac{2}{3} \times \pi \times {1.5}^{3}$

$v = 7.07 \: {cm}^{3}$

Volume of the cylinder:

$v = \pi {r}^{2} h$

$v = \pi \times {1.5}^{2} \times 4$

$v = 28.27 \: {cm}^{3}$

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.

Answer 2

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