To answer this question we will use the following formulas to compute the volume of a rectangular prism and a cylinder:
[tex]\begin{gathered} V_{prism}=length\times width\times height, \\ V_{cylinder}=\pi\times radius^2\times height. \end{gathered}[/tex]
From the given diagram we get that the length of the rectangular prism is 24ft, its width is 16ft and its height is 20ft, therefore its volume is:
[tex]V_{prism}=24ft\times16ft\times20ft=7680ft^3.[/tex]
Also, from the given diagram we get that the radius of the cylinder is 4ft and its height is 20ft, therefore its volume is:
[tex]V_{cylinder}=\pi\times(4ft)^2\times20ft=80\pi ft^3\approx251.3ft^3.[/tex]
Then:
[tex]7680ft^3-251.3ft^3=7428.7ft^3[/tex]
Answer:
[tex]7428.7ft^3.[/tex]
