SOLUTION: a solid cylinder has a total surface area 462 sq.cm.its curved surface area is one-third the total surface area.find the volume of the cylinder.please help me to solve this sum.

Algebra ->  Surface-area -> SOLUTION: a solid cylinder has a total surface area 462 sq.cm.its curved surface area is one-third the total surface area.find the volume of the cylinder.please help me to solve this sum.       Log On


   

Question 941080: a solid cylinder has a total surface area 462 sq.cm.its curved surface area is one-third the total surface area.find the volume of the cylinder.please help me to solve this sum.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
For a cylinder,
A=2%2Api%2AR%5E2%2Bpi%2AR%5E2%2AH
A=2%2Api%2AR%5E2%2B%28A%2F3%29
%282%2F3%29A=2%2Api%2AR%5E2
%282%2F3%29%28462%29=2%2Api%2AR%5E2
R%5E2=154%2Fpi
So then,
462%2F3=pi%28154%2Fpi%29%2AH
H=1
and finally,
V=pi%2AR%5E2%2AH
V=pi%28154%2Fpi%29%2A1
V=154cm%5E3