The cone below has a lateral surface area of $16 \sqrt{5} \cdot \pi$. Find the volume of the cone.
\(16 \sqrt{5} \cdot \pi \)
L = 10
16sqrt( 5) pi = pi * r * L
16sqrt 5 = 10 * r
r = (16sqrt 5) / (10) = (8sqrt 5) / ( 5) = 8 / (sqrt(5))
Volume of cone = (1/3) pi [ 8/ sqrt(5) ]^2 * sqrt [ 10^2 - [ 8 /sqrt (5)]^2 ] ≈ 125.17
+1557 
