SOLUTION: The surface area of a right cylinder is 576 pie cm^2. If the radius and height are equal, find the legnth of the diameter.

Algebra ->  Surface-area -> SOLUTION: The surface area of a right cylinder is 576 pie cm^2. If the radius and height are equal, find the legnth of the diameter.       Log On


   

Question 970086: The surface area of a right cylinder is 576 pie cm^2. If the radius and height are equal, find the legnth of the diameter.
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
Surface area of cylinder = area of bases (2(pi)r^2)+area of sides (circumference x height=2(pi)rh and h=r so:
SA=2%28pi%29r%5E2%2B2%28pi%29r%5E2=4%28pi%29r%5E2
.
4%28pi%29r%5E2=576%28pi%29cm%5E2 Divide each side by 4(pi)
r%5E2=144cm%5E2 Find the square root of each side.
r=12+cm
Diameter=2(radius)=2(12cm)=24 cm
ANSWER: The diameter is 24 centimeters.