SOLUTION: A cylinder shaped water tank holds 200,000 gallons of water. The height of the tank is 48ft. To the nearest tenth of a foot, what is the radius of the tank?

Algebra ->  Volume -> SOLUTION: A cylinder shaped water tank holds 200,000 gallons of water. The height of the tank is 48ft. To the nearest tenth of a foot, what is the radius of the tank?      Log On


   

Question 591117: A cylinder shaped water tank holds 200,000 gallons of water. The height of the tank is 48ft. To the nearest tenth of a foot, what is the radius of the tank?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A cylinder shaped water tank holds 200,000 gallons of water.
The height of the tank is 48ft.
To the nearest tenth of a foot, what is the radius of the tank?
:
Change 200,000 gal to cu/ft: .1337*200000 = 26740 cu/ft
:
Using the volume of a cylinder formula V+=+pi%2Ar%5E2%2Ah
pi%2Ar%5E2%2A48 = 26740
:
r%5E2 = 26740%2F%2848%2Api%29
:
r%5E2 = 177.325
r = sqrt%28177.325%29
r ~ 13.3 ~ 13 ft is the radius
:
:
Check this on a calc: (7.481 gal in one cu/ft)
pi%2A13.3%5E2%2A48%2A7.481; results: 199551 ~ 200,000