SOLUTION: The ratio of the volume to the lateral area of a right circular cone is 2:1. If the altitude is 15 centimeters, what is the ratio of the slant height to the radius?

Algebra ->  Surface-area -> SOLUTION: The ratio of the volume to the lateral area of a right circular cone is 2:1. If the altitude is 15 centimeters, what is the ratio of the slant height to the radius?      Log On


   

Question 575071: The ratio of the volume to the lateral area of a right circular cone is 2:1. If the altitude is 15 centimeters, what is the ratio of the slant height to the radius?
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
V=volume (in cubic cm)
A=lateral surface area (in square centimeters)
h=altitude (in cm)
s=slant height (in cm)
r=radius of the base (in cm)
V=%281%2F3%29pi%2Ar%5E2%2Ah, and with h=15,
V=%281%2F3%29pi%2Ar%5E2%2A15=5%2Api%2Ar%5E2
A=pi%2Ar%2As
V%2FA=2%2F1=5%2Api%2Ar%5E2%2F%28pi%2Ar%2As%29=5r%2Fs --> 2=5r%2Fs --> 2s=5r --> 2s%2Fr=5 --> highlight%28s%2Fr=5%2F2%29