Chapter 12.3, Problem 5CYU

To determine

Find the lateral area and surface area of the conical tent.

Answer to Problem 5CYU

L = $188.5m^2$

S = $267m^2$

Explanation of Solution

Given:

  

Formula Used: The Lateral area L of cone is

  $L=\pi rl$ , where l is the slant height and r is the radius of the base.

The Surface area S of cone is

  $S=L+\pi r^2$ , where r is the radius of the base.

Calculation:

Radius of the cone is 5 m and slant height is 12 m.

Lateral area of the cone = $L=\pi rl=\pi (5)(12)\approx 188.5m^2$

Surface area of the cone = $S=L+\pi r^2=188.5+\pi {(5)}^2=188.5+78.5=267m^2$

Hence,

L = $188.5m^2$

S = $267m^2$