Chapter 12.10, Problem 21IP

To determine

To calculate: Slant height of the conical tent which has lateral area equal to that of given canvas sheet.

Answer to Problem 21IP

  $63.6feet$

Explanation of Solution

Given information:

The given information is, can of water repellant can seal an area $60feet\times 50feet$ . Diameter of cone is 30 feet.

Formula used:

Lateral area of cone $=\pi rl$ , radius $=\frac{1}{2}\times diameter.$

Calculation:

  $\begin{array}{l}givendiameter=30feet\therefore radius=15feet.\\ now,lateralareaofcone=areaofcanvas\\ \therefore \pi rl=60\times 50\\ \therefore \frac{22}{7}\times 15\times l=60\times 50\\ \therefore l=\frac{7\times 60\times 50}{22\times 15}\\ \therefore l=\frac{21000}{330}\\ \therefore l=63.6feet\end{array}$