What is the lateral surface area of a cone that has a slant height of 17 inches and a diameter of 13 inches? (Recall the formula L A = pi r l) 107.5 pi inches squared 110.5 pi i…

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asked Jun 19, 2022 68.4k views

2 Answers

Sirclesam · Answer 1 · 2022-06-23T21:54:37+0000

Answer:

$A=110.5\pi \ inches^2$

Explanation:

Given that,

The slant height of a cone, l = 17 inches

The diameter of a cone, d = 13 inches

Radius, r = (D/2) = 6.5 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 :

$A=\pi rl$

Put all the values,

$A=\pi * 6.5* 17\\\\A=110.5\pi \ inches^2$

So, the lateral surface area of the cone is equal to
$110.5\pi \ inches^2$ .