Question

Find the volume of the composite figure below

Answer 1

The volume of the composite: 1,746.124

Explanation:

The total volume of the composite = Volume of the cylinder + Volume of the cube

The cylinder has the base with radius equal to 4ft, the height equal to 8 ft.

We have the formula to calculate the volume of the cylinder as below:

+) Volume of a cylinder = Area of Base x Height

As the base of the cylinder is a circle with radius equal to 4ft, we have:

+) Area of a circle =
`\pi` x (Radius ^2)

=> Area of the base =
`\pi` x 4^2 = 16
`\pi` ft

=> The volume of the cylinder = 16
`\pi` x 8 = 128
`\pi` ft

The cube has length of 14ft, width of 8ft and height of 12ft

We have the formula to calculate the volume of the cube as folow:

+) Volume of a cube = Length x Width x Height = 14 x 8 x 12 = 1,344 ft

The volume of the composite = The volume of the cylinder + Volume of the cube = 128
`\pi` + 1,344 ≈ 1,746.124 ft