A cone has a slant height of 8 and a lat...

A cone has a slant height of 8 and a lateral area of `48pi`. What is the radius of the base of the cone ?

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The correct Answer is:

The lateral area of a cone is determined with the formula `A = (1)/(2)cl`, where c is the circumference and l is the slant height.
So to find the circumference of the cone, solve the formula for c.
`c = (2A)/(l)`
`c = (2(48 pi))/(8)=(96 pi)/(8)=12pi`
The circumference of the circular base of a cone is `2pi r`, where r = radius, so the radius of the base of the cone is 6.

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