Question

Find the volume of the following compound shape.​

Answer 1

the volume of the compound shape is:

4188.79 cm^3

hope this helps

Answer 2

Given:

• Cone
• Cylinder

Volume of the cone:

$v = \frac{1}{3} \pi {r}^{2} h$

$v = \frac{1}{3} \times \pi \times {10}^{2} \times 10$

$v = 1047.20 \: {cm}^{3}$

Volume of the cylinder:

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

$v = \pi \times {10}^{2} \times 10$

$v = 3141.59 \: {cm}^{3}$

Total volume:

$v = 1047.20 + 3141.59$

$v = 4188.79 \: {cm}^{3}$

Hence, the volume of the given cone shape is 4188.79 cubic centimeters.