Respuesta :

the diameter of the cylinder is D = 10 in.

the radius is, R = D/2 = 10/2 = 5 in.

the height of the cylinder is, H = 6 in.

the formula for the volume is,

[tex]V=\pi R^2H[/tex]

put values,

[tex]V=\pi\times5^2\times6[/tex][tex]\begin{gathered} V=3.14\times25\times6 \\ V=471\text{ cubic inch} \end{gathered}[/tex]

thus, the answer is V = 471 cubic inches,