SOLUTION: A circular cylinder is 60 inches in height and has a volume of 30 gallons. water is flowing into the cylinder at the rate of 5 gallons per minute. At what rate is the level of wate

Algebra ->  Volume -> SOLUTION: A circular cylinder is 60 inches in height and has a volume of 30 gallons. water is flowing into the cylinder at the rate of 5 gallons per minute. At what rate is the level of wate      Log On


   

Question 736970: A circular cylinder is 60 inches in height and has a volume of 30 gallons. water is flowing into the cylinder at the rate of 5 gallons per minute. At what rate is the level of water in the cylinder increasing?
I need this solved asap. Thank you in advance for your help.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A circular cylinder is 60 inches in height and has a volume of 30 gallons.
water is flowing into the cylinder at the rate of 5 gallons per minute.
At what rate is the level of water in the cylinder increasing?
:
30 gallons = 231*30 = 6930 cu/inches
:
Find the radius of the cylinder
pi*r^2*60 = 6930
r%5E2 = 6930%2F%2860%2Api%29
r%5E2 = 36.7648
r = sqrt%2836.7648%29
r ~ 6.1 inches
:
Find the height (h) of a cylinder of 5 gallons of water
5 * 231 = 1155 cu/inches
:
pi%2A6.1%5E2%2Ah = 1155
h = 1155%2F%2836.7648%2Api%29
h = 9.99 ~ 10 inches per minutes