Question

Find the volume of the composite figure. Round to the nearest tenth.

Answer 1

Total volume of the figure =
`339.35Feet^3`

Explanation:

The volume of the given figure can be find by adding the volume of the two half cylinders and the mid cuboid part.

Volume of the figure=Volume of the cuboid + Volume of Two half cylinders

Dimensions of the cuboid:

Length=11 feet Width=4 feet Height= 6 feet

Dimensions of the cylinder :

Radius(r)=2 feet Height(h)= 6 feet

Volume of a cuboid:

=
`Length*Width*Height`

`= 11*4*6`

`=264 feet^3`

Volume of the cylinder=
`\pi *r^2*h`

volume of two half cylinders=
`2*((1)/(2)*\pi *r^2*h )`

`= 3.14*(2*2)*6\\\\ = 75.35 feet^3`

Total volume of the Figure=
`264+75.35`

Total volume of the figure =
`339.35Feet^3`