Cylinder

Example 1:

Find the lateral surface area of a cylinder with a base radius of $3$ inches and a height of $9$ inches.

$\begin{array}{l}\text{L}\text{. S}\text{. A}\text{.}=2\pi \left(3\right)\left(9\right)\\ =54\pi {\text{ in.}}^2\\ \approx 169.56{\text{ in.}}^2\end{array}$

Example 2:

Find the total surface area of a cylinder with a base radius of $5$ inches and a height of $7$ inches.

$\begin{array}{l}\text{T}\text{. S}\text{. A}\text{.}=2\pi \left(5\right)\left(7\right)+2\pi {\left(5\right)}^2\\ =70\pi +50\pi \\ =120\pi {\text{ in.}}^2\\ \approx 376.8{\text{ in.}}^{2^{}}\end{array}$

Example 3:

Find the volume of a cylinder with radius $3$ cm and height $10$ cm.

$\begin{array}{l}V=\pi {\left(3\right)}^2\left(10\right)\\ =90\pi {\text{ cm}}^3\\ \approx 282.6{\text{ cm}}^3\end{array}$