Question 632459: A cone has a height of 15 ft, a slant height of 18 ft, and a base circumference of 62.8 ft. What is the lateral surface area of the cone?
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! A cone has a height of 15 ft, a slant height of 18 ft, and a base circumference of 62.8 ft. What is the lateral surface area of the cone?
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formula for lateral surface area of the cone: πr√(r^2+h^2), r=radius of circular base, h=height
circumference=2πr=62.8
r=62.8/2π=9.99
note: r can also be calculated using given slant height and height using the pythagorean theorem:
r=√(18^2-15^2)=√99≈9.95
we will use the first number.
πr√(r^2+h^2)
=π*9.99√(9.99^2+15^2)
=31.38√324.8
≈565.54
lateral surface area of the cone=565.54 sq ft
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