Mackenna L.
asked • 09/20/22finding the slant height of a cone
The surface area of the cone is 116𝜋 square feet. Find the slant height of the cone.
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1 Expert Answer
The formula for the surface area of a cone is:
Area = pi(r)l + pi(r2) r is the radius l = the slant height
116pi = pi(4)l + pi(42)
116pi = pi(4)l + 16pi Factor out 4pi
116pi = 4pi(l + 4) Divide each side of the equation by 4pi
29 = l + 4 Subtract 4 from each side of the equation
-4 -4
25 = l so the slant height is 25 ft
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Mackenna L.
radius is 4 ft09/20/22