SOLUTION: I need some help with this problem, I didn't understand my teacher well when she was teaching. It's the weekend and I am stumped in this problem. A hot water tank is in the shap

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Question 460309: I need some help with this problem, I didn't understand my teacher well when she was teaching. It's the weekend and I am stumped in this problem.
A hot water tank is in the shape of a right circular cylinder surmounted by a hemisphere. How many gallons does the tank hold? ( 1.00 ft^3 contains 7.48).
H= 4.75ft
Diameter= 2.50 ft
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A hot water tank is in the shape of a right circular cylinder surmounted by a hemisphere. How many gallons does the tank hold? ( 1.00 ft^3 contains 7.48).
H= 4.75ft
Diameter= 2.50 ft
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radius = 1.25 ft
If the 4.75 ht includes the hemisphere, then the height of the cylinder = 3.5 ft
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Cyl vol = pi%2Ar%5E2%2Ah+=+pi%2A1.25%5E2%2A3.5+=+5.46875%2Api cf
The hemisphere vol = 2%2Api%2Ar%5E3%2F3+=+2%2Api%2A1.25%5E3%2F3+=+1.30208%2Api
Total = 6.7708*pi cf
=~ 159 gallons