SOLUTION: If h is the altitude of a right circular cylinder and r the radius, Find the ratio of h to r if the lateral area is known to be 5 times the sum of the areas of the bases.

Algebra ->  Test -> SOLUTION: If h is the altitude of a right circular cylinder and r the radius, Find the ratio of h to r if the lateral area is known to be 5 times the sum of the areas of the bases.       Log On


   

Question 1050311: If h is the altitude of a right circular cylinder and r the radius, Find the ratio of h to r if the lateral area is known to be 5 times the sum of the areas of the bases.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
If h is the altitude of a right circular cylinder and r the radius,
Find the ratio of h to r if the lateral area is known to be 5 times the sum of the areas of the bases.
:
Lateral area = 5 times the sum of the base areas
2%2Api%2Ar%2Ah = 5%282%2Api%2Ar%5E2%29
Divide both sides by 2%2Api%2Ar
%282%2Api%2Ar%2Ah%29%2F%282%2Api%2Ar%29 = %285%282%2Api%2Ar%5E2%29%29%2F%282%2Api%2Ar%29
Cancel and you have
h = 5r
Ratio of h:r = 5:1