Let A be the lateral surface area of the cone below, and let B be the lateral surface area of the cylinder below. Find AB.
The radius of the cylinder is 10.
Lateral surface area of cone = pi * r * L
Where L = sqrt (33^2 + 10^2)
Lateral surface area of cylinder = 2pi * 10 * 17 = 340pi
A / B = [ pi * 10 * sqrt ( 33^2 + 10^2) ] / [ 340 pi ] = sqrt (33^2 + 10^2) / 34 =
sqrt ( 1189) / 34 ≈ 1.015