Respuesta :

Given that the diameter of the cylinder is 10 in and height h=11 in.

[tex]We\text{ know that radius =}\frac{\text{diameter}}{2}=\frac{10}{2}=5\text{ in.}[/tex]

The formula for the volume of the cylinder is

[tex]V=\pi r^2h[/tex][tex]\text{Substitute }\pi=3,\text{ r=5 and h=11, we get}[/tex]

[tex]V\approx3\times5^2\times11[/tex]

[tex]V\approx3\times25\times11[/tex]

[tex]V\approx825in^3[/tex]

Hence the required volume of the given cylinder is

[tex]V\approx825in^3[/tex]

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