start by calculating the are of the top and bottom of the cylinder using the formula
[tex]A=\pi\cdot r^2[/tex][tex]\begin{gathered} A=\pi\cdot(1.5)^2 \\ A\approx7.07 \end{gathered}[/tex]
Now calculate the side surface area using the arc length of the base and the height of the cylinder
[tex]A=2\cdot\pi\cdot r\cdot h[/tex][tex]\begin{gathered} A=2\cdot\pi\cdot1.5\cdot10 \\ A=30\pi \\ A\approx94.28 \end{gathered}[/tex]
calculate the total area by adding the top, bottom and sides areas
[tex]\begin{gathered} A=94.28+7.07+7.07 \\ A\approx108.42 \end{gathered}[/tex]
