Question

A 13 meter long cylinder with a diameter of 8 meters has a square prism with a base length of 3 meters hole going all the way through the center of it as
shown in the diagram (not to scale). Find the volume of the composite shape rounding to the nearest cubic meter.
Hint: while working the problem carry figures at least three decimal places, then round to the nearest cubic meter only once at the very end.

Answer 1

The volume of the solid is 626.12m³

Volume of composite solids.

The volume of the given composite solid = volume of cylinder - volume of cube

The volume of cylinder Vc = πr²h

Vc = 3.14(8/2)²(13)

Vc = 3.14(16)(13)

Vc = 653.12 m³

Similarly the volume of the cube:

Volume of cube = 3³

Volume of cube = 27 m³

Volume of the solid = 626.12m³

Hence the volume of the solid is 626.12m³

Learn more on volume of composite solid here; brainly.com/question/9076728