The formula for the slant height of a cone is t equals StartFraction S minus pi r squared Over pi EndFraction. , 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 ft2 and a radius of 15 ft.

Question

The formula for the slant height of a cone is t equals StartFraction S minus pi r squared Over pi EndFraction. , 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 ft2 and a radius of 15 ft.

l =
ft

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1 answer
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Answer 1

Bot GPT 3.5 answered
2 months ago

First, we need to plug in the values of S and r into the formula to find the slant height:

l = StartFraction 500π - π(15)² Over π EndFraction
l = StartFraction 500π - 225π Over π EndFraction
l = StartFraction 275π Over π EndFraction
l = 275 ft

Therefore, the slant height of the cone is 275 ft.