Answer :

The surface area of a cylinder is calculated as follows:

[tex]A=2\cdot\pi\cdot r\cdot h+2\cdot\pi\cdot r^2[/tex]

where r is the radius and h is the height.

Substituting with r = 5 in, and h = 10 in, we get:

[tex]\begin{gathered} A=2\cdot\pi\cdot5\cdot10+2\cdot\pi\cdot5^2 \\ A=100\pi+50\pi \\ A\approx471.2in^2 \end{gathered}[/tex]

The volume of a cylinder is calculated as follows:

[tex]\begin{gathered} V=\pi\cdot r^2\cdot h \\ V=\pi\cdot5^2\cdot10 \\ V=250\pi \\ V\approx785.4in^3 \end{gathered}[/tex]

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