Question

The cone shown has a radius of 6 inches and a slant height of 10 inches. What is the total surface area of the cone?

Answer 1

Answer:

$A=301.71\ \text{inches}^2$

Step-by-step explanation:

Given that,

The radius of a cone, r = 6 inches

The slant height of the cone, l = 10 inches

We need to find the total surface area of the cone. It is given by :

$A=\pi rl+\pi r^2$

Substituting all the values,

$A=\pi r(l+ r)\\\\A=\dfrac{22}{7}\times 6\times (10+ 6)\\\\A=301.71\ \text{inches}^2$

So, the total surface area of the cone is $301.71\ \text{inches}^2$.