SOLUTION: A formula for the total surface area of a cylinder is given as: T = 2(pi)r(h+r), where h is the altitude and r is the radius of a base. Find the altitude in centimeters if the radi

Algebra ->  Surface-area -> SOLUTION: A formula for the total surface area of a cylinder is given as: T = 2(pi)r(h+r), where h is the altitude and r is the radius of a base. Find the altitude in centimeters if the radi      Log On


   

Question 128413: A formula for the total surface area of a cylinder is given as: T = 2(pi)r(h+r), where h is the altitude and r is the radius of a base. Find the altitude in centimeters if the radius = 6cm and the total surface area = 168(pi)cm^2.
I need help in knowing how to set this up and solving it. thank you
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
T+=+2%28pi%29%2Ar%2A%28h%2Br%29
r+=+6cm
T+=+168%2A%28pi%29cm2
168%2A%28pi%29+=+2%2A%28pi%29%2A6%2A%28h+%2B+6%29
divide both sides by 12%2A%28pi%29
14+=+h+%2B+6
h+=+8cm answer
check answer:
T+=+2%28pi%29%2Ar%2A%28h%2Br%29
T+=+2%28pi%29%2A6%2A%288%2B6%29
T+=+168%2A%28pi%29
OK