Question

Find the volume of the following compound shape.
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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 = (1)/(3) \pi {r}^(2) h`

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

`v = 1047.20 \: {cm}^(3)`

Volume of the cylinder:

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

`v = \pi * {10}^(2) * 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.