The missing slant height, l, can be found by using the formula for the surface area of a cone:
SA = (π * r * l) + (π * r^2)
Given that the surface area is 364π square inches and the radius is 13 inches, we can plug these values into the formula:
364π = (π * 13 * l) + (π * 13^2)
Simplifying the equation:
364π = 13π * l + 169π
364π - 169π = 13π * l
195π = 13π * l
Dividing both sides by 13π:
15 = l
Therefore, the missing slant height is 15 inches.
Use the image to answer the question.
A cone of radius 13 inches and l equals question mark on the right. The base is shaded. S A equals 364 pi inches squared above cone.
What is the missing slant height?
(1 point)
in.2
1 answer