Chapter 10.6, Problem 5E

To determine

To calculate the surface area of cone.

Answer to Problem 5E

  $352$ ft²

Explanation of Solution

Given Information: Cone Radius r = 7 ft., Slant Height l = 9 ft. and $\pi =\frac{22}{7}$

Formula Used:

Surface area of Cone = $\pi r^2+\pi rl$

Calculation:

Surface area of Cone = $\pi r^2+\pi rl$

Radius r = 7 ft., Slant Height l = 9 ft. and $\pi =\frac{22}{7}$

Now put the value of r, s and $\pi$ to find Surface area of Cone

Surface area of Cone = $\frac{22}{7}\times 7^2+\frac{22}{7}\times 7\times 9$ ft²

So,

Surface area of Cone = $\frac{22}{7}\times 49+\frac{22}{7}\times 63$ ft²

So,

Surface area of Cone = $154+198$ ft²

Hence,

Surface area of Cone = $352$ ft²