Find the volume of the composite figure below

The volume of the composite: 1,746.124

Step-by-step 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 = x (Radius ^2)

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

=> The volume of the cylinder = 16 x 8 = 128 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 + 1,344 ≈ 1,746.124 ft

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