Chapter 1.3, Problem 15PPS

To determine

The approximate area of the cylinder.

Answer to Problem 15PPS

The surface area of cylinder is $1848{\text{in}}^2$ .

Explanation of Solution

Given:

The height of the cylinder is $7\text{in}$ .

Radius of the cylinder is 14 in.

Expression of the surface area of cylinder is,

  $2\cdot \frac{22}{7}\cdot {14}^2+2\cdot \frac{22}{7}\cdot 14\cdot 7$

Calculation:

Solve the given expression of surface area as follows:

  $\begin{array}{l}\Rightarrow 2\cdot \frac{22}{7}\cdot {14}^2+2\cdot \frac{22}{7}\cdot 14\cdot 7\text{}\left(\text{Multiplication}\right)\\ \Rightarrow \frac{44}{\cancel{7}}\cdot \cancel{7}\cdot 2\cdot 14+\frac{44}{\cancel{7}}\cdot 14\cdot \cancel{7}\text{}\left(\text{Division}\right)\\ \Rightarrow 44\cdot 2\cdot 14+44\cdot 14\text{}\left(\text{Multiplication}\right)\\ \Rightarrow 1232+616\text{}\left(\text{Addition}\right)\\ \Rightarrow 1848{\text{in}}^2\end{array}$

Hence, the surface area of cylinder is $1848{\text{in}}^2$ .