The lateral area of the cone is 400 pi cm squared. The radius is 10 cm. Find the slant height of the nearest tenth.

Question

asked May 22, 2020 133k views

2 Answers

Donetta · Answer 1 · 2020-05-27T13:06:59+0000

Answer: 40 cm

Explanation:

Given: The radius of the cone = 10 cm

The lateral area of the cone
$= 400 \pi$ cm squared.

The lateral surface area of cone is given by :-

$L.S.A.=\pi rl$ , where r is the radius and l is the slant height of the cone.

For r=10 and L.S.A.
$= 400 \pi$ , we have

$400\pi=\pi(10)l\\\\\Rightarrow\ l=(400)/(10)=40$

Hence, the slant height of the cone is 40 cm.