Question

What is the lateral surface area of a cone that has a diameter of 7 inches and a slant height of 10 inches? A cone with diameter 7 inches and slant height 10 inches. L A = pi r l 12.25 pi inches squared 17.5 pi inches squared 35 pi inches squared 70 pi inches squared

Answer 1

Answer:

$A=35\pi\ \text{inches}^2$

Step-by-step explanation:

Given that,

The diameter of a cone, d = 7 inches

Radius, r = 3.5 inches

The slant height of the cone, l = 10 inches

We need to find the lateral surface area of a cone. The formula for the lateral surface area of a cone is given by :

$A=\pi rl$

Substitute all the values,

$A=\pi\times 3.5\times 10\\\\A=35\pi\ \text{inches}^2$

So, the lateral surface area of the cone is $35\pi\ \text{inches}^2$.