Answer:
Option C
Step-by-step explanation:
The volume of a cylinder is given as the product of cross sectional area and height. Therefore, it is expressed as
V=Ah
Since the cross sectional area is given by
[tex]A=\pi r^{2}[/tex]
Substituting the formula of A into V then
[tex]V=\pi r^{2}h[/tex]
Where V is the volume, r is radius and h is height.
Since r is half the diameter then the radius will be 0.5*8.2=4.1 inches
Substituting 4.1 in for r and 8.2 in for h then
[tex]V=\pi\times 4.1^{2}\times 8.2[/tex]
[tex]V=3.14*4.1r^{2}*8.2=432.82388\\V\approx 432.8 in^{3}[/tex]
Therefore, option C is correct
