The correct answer is option A which is the volume will be 160π cubic inches.
The complete question is attached with the answer below.
What is volume?
Volume is defined as the space covered by any solid body in the three-dimensional plane. For semicircle the parameter is radius and for cylinder, the parameters are height and radius.
The volume of the cylinder will be calculated as:-
V = [tex]\dfrac{\pi}{4}(r^2h)[/tex]
V = [tex]\dfrac{\pi}{4}( 8^2)(10)[/tex]
V = [tex]\dfrac{\pi}{4}\times 64 \times 10[/tex]
V = 164π cubic inches
Therefore the correct answer is option A which is the volume will be 160π cubic inches.
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