Chapter 12.9, Problem 10IP

To determine

To find: The lateral area and surface area of the cylinder.

Answer to Problem 10IP

The lateral area and surface area of the cylinder is $206.4{\text{m}}^2$ and $333.6{\text{m}}^2$ , respectively.

Explanation of Solution

Given information:

The diameter of the cylinder is 9 meters and height is $7.3$ meters.

Calculation:

Write the expression to calculate the lateral area of the cylinder.

  $\text{Lateral}\text{area}=2\pi rh$

Where,

• $r$ is the radius of the cylinder.
• $h$ is the height of the cylinder.

Substitute the values in the above expression.

  $\begin{array}{c}\text{Lateral}\text{area}=2\pi \left(\frac{9}{2}\right)7.3\\ =206.4{\text{m}}^2\end{array}$

Write the expression to calculate the surface area of the cylinder.

  $\begin{array}{c}\text{Surface}\text{area}=\text{Lateral}\text{area}+2\pi r^2\\ =206.4{\text{m}}^2+2\pi {\left(\frac{9}{2}\right)}^2{\text{m}}^2\\ =333.6{\text{m}}^2\end{array}$

Conclusion:

Therefore, the lateral area and surface area of the cylinder is $206.4{\text{m}}^2$ and $333.6{\text{m}}^2$ , respectively.