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.

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