Question

Find the volume of the composite solid. Round your answer to the nearest tenth.

Answer 1

The 3349.33 cubic feet is the total volume of the composite solid.

To calculate the volume of a composite solid, you'll need to break it down into simpler shapes and find the volumes of each component.

Then, add or subtract these volumes based on the configuration of the composite solid

The total volume of the cylinder and cone adds up to the volume of this composite solid.

In this case, the cylinder's volume equals

`\pi r^(2) h`

When we change the supplied values, we obtain -

3.14 ×
`8^(2)` × 6 = 1205.76 cubic feet

The cone's volume is equivalent to

`\pi r^(2) (h)/(3)`

When we exchange the given values, we obtain

3.14 ×
`8^(3)` ×
`(4)/(3)` = 2145.57 cubic feet

Therefore, The 3349.33 cubic feet is the total volume of the composite solid.

Answer 2

The total volume of the composite solid is equal to 3349.33 cubic feet

Step-by-step explanation:

The volume of this composite solid is equal to the sum of volume of the cone and volume of the cylinder

Here the volume of cylinder is equal to

`\pi r^2h`

Substituting the given values, we get -

`3.14 * 8^2* 6 = 1205.76` cubic feet

Volume of the cone is equal to

`\pi r^2(h)/(3)`

Substituting the give values, we get -

`3.14 * 8^3 * (4)/(3) = 2143.57` cubic feet

The total volume of the composite solid is equal to 3349.33 cubic feet