Chapter 12.7, Problem 3CYP

To determine

The lateral surface area of cone is to be estimated:

Radius: $4\frac{1}{4}yards$

Height: $7yards$

Answer to Problem 3CYP

The lateral surface area of cone is $93.4623yard{s}^2$

Explanation of Solution

Given:

  $\begin{array}{l}r=4\frac{1}{4}yards\\ h=7yards\end{array}$

Concept Used:

The lateral surface area of cone is given by the following expression:

  $A=\pi rh$

Where,

Radius: $r$

Height: $h$

Calculation:

The lateral surface area of cone is given by the following expression:

  $\begin{array}{l}A=\pi rh\\ A=\pi \left(4\frac{1}{4}\right)\times 7\\ A=\pi \left(\frac{17}{4}\right)\times 7\\ A=93.4623yard{s}^2\end{array}$

Conclusion:

Hence, the lateral surface area of cone is calculated as $A=93.4623yard{s}^2$ .