Chapter 13.1, Problem 40SPR

To determine

Find the lateral and surface area of cylinder.

Answer to Problem 40SPR

  $37.6i{n}^2,138.1i{n}^2$

Explanation of Solution

Given information:

Cylindrical geomerty,

  

Calculation:

Consider the given cylinder,

  $\begin{array}{l}radius=1.5inch\\ height=4inch\end{array}$

  $\begin{array}{l}Lateralarea=2\pi rh\\ =2\pi \times 1.5\times 4\\ =9.4\times 4\\ =37.6i{n}^2\end{array}$

  $\begin{array}{l}surfacearea=lateralarea+2\pi r^2\\ =37.6+2\pi \times 4^2\\ =37.6+100.5\\ =138.1i{n}^2\end{array}$

Hence, lateral area and surface area is, $37.6i{n}^2,138.1i{n}^2$ .