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 …

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asked Feb 8, 2022 170k views

2 Answers

Prettyfly · Answer 1 · 2022-02-12T16:18:30+0000

Answer:

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

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,

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

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