SOLUTION: a cubic ft of water weighs about 62.4 pounds.what must be the diameter of a cylindrical pail 1ft. high in order for it t hold the water from 25pounds of ice?how many square inches

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Question 395597: a cubic ft of water weighs about 62.4 pounds.what must be the diameter of a cylindrical pail 1ft. high in order for it t hold the water from 25pounds of ice?how many square inches of sheet tin required t make the pan?(neglect waste in cutting and lapping)
Answer by ankor@dixie-net.com(15638) About Me  (Show Source):
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a cubic ft of water weighs about 62.4 pounds.
what must be the diameter of a cylindrical pail 1ft. high
in order for it t hold the water from 25 pounds of ice
:
Find the volume of 25 lb of water
V = 25%2F62.4
V = .4 cu/ft
Which is .4(1728) = 691.2 cu/inches
:
Find the radius (in inches)of a cylinder that will hold 691.2 cu/in of water
pi%2Ar%5E2%2A12 = 691.2
r = sqrt%28691.2%2F%2812%2Api%29%29
r = 4.282 inches
d = 8.564 inches is the diameter,
:
how many square inches of sheet tin required t make the pan?(neglect waste in cutting and lapping)
Find the surface area of an open top cylinder (height is 12")
SA = pi%2Ar%5E2 + 2%2Api%2Ar%2Ah
SA = pi%2A4.282%5E2 + 2%2Api%2A4.282%2A12
SA = 57.60 + 102.77
SA = 160.37 sq/inches of tin