SOLUTION: a paint manufacturer desires a cylindrical steel drum to hold 50 gal. of roof paint. For convenience in handling, it is found necessary to limit the inside diameter to 2 1/2ft. fin

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Question 400556: a paint manufacturer desires a cylindrical steel drum to hold 50 gal. of roof paint. For convenience in handling, it is found necessary to limit the inside diameter to 2 1/2ft. find the height of the drum desired. (one gal. =231 cu. in.)
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
50 gal x 231 in3/gal = 11550 in3 tank
2.5 ft x 12 in/ft = 30 in diameter
15%7D%7D+in+=+radius%0D%0ALet+%7B%7B%7BV = volume
V+=+pi%2A15%5E2+%2Ah
11550+=+pi%2A15%5E2%2Ah
h+=+11550%2F%28pi%2A225%29
h+=+16.34 in
height is 1 ft 4.34 in