Question

The formula for the slant height of a cone is I= s-π(pie)r^2 over π(pie) , where S is surface area of the cone. Use the formula to find the slant height, l, of a cone with a surface area of 500π ft^2 and a radius of 15 ft. l = [_____] ft

Answer 1

Answer:275 feet

Explanation:

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Answer 2

Given:
formula for the slant height of a cone is I= s-π(pie)r^2 over π(pie)
where S is surface area of the cone
S(surface area) = 500π ft^2
r(radius) = 15 ft

Required:
l in m

Solution:
I = (s - πr²) / π
I = (500π - π(15)²) / π
l = 275 ft (1m / 3.2808 ft)
l = 83.82 m