SOLUTION: A conical water tank has a base with a diameter of 6 ft and is 10 ft tall. How many gallons of water will the tank hold? Round your solution to the nearest hundredth. (1 cubic foot

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Question 203491: A conical water tank has a base with a diameter of 6 ft and is 10 ft tall. How many gallons of water will the tank hold? Round your solution to the nearest hundredth. (1 cubic foot holds about 7.480519 gallons)
Answer by Earlsdon(6098) About Me  (Show Source):
You can put this solution on YOUR website!
Start with te formula for the volume of a cone:
V%5Bc%5D+=+%281%2F3%29%28pi%29r%5E2%2Ah Substitute: r = 6ft., h = 10ft. and pi+=+3.14 approx.
V%5Bc%5D+=+%281%2F3%29%283.14%29%286%5E2%29%2810%29
V%5Bc%5D+=+376.8cu.ft.
Since 1 cu.ft = 7.480510 gallons of water, then the capacity, C, is...
C+=+%28376.8%29%2A%287.480510%29
C+=+2818.656Gallons. Rounded to the nearest hundredth, this is:
highlight%28C+=+2818.66%29Gallons.