SOLUTION: A hot-water heater is in the shape of a circular cylinder. It has a height of 3 feet 9 inches and a diameter of 16 inches. How many gallons of water will the tank hold? (1 cubic fo

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Question 139570: A hot-water heater is in the shape of a circular cylinder. It has a height of 3 feet 9 inches and a diameter of 16 inches. How many gallons of water will the tank hold? (1 cubic foot-7.5 gallons. Round to the nearest tenth, if necessary.
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A hot-water heater is in the shape of a circular cylinder. It has a height of 3 feet 9 inches and a diameter of 16 inches. How many gallons of water will the tank hold? (1 cubic foot-7.5 gallons. Round to the nearest tenth, if necessary.
:
The volume of a cylinder: V = pi*r^2*h
:
radius = 16/2 = 8"
:
Convert 3' 9" to inches: (12*3) + 9 = 45"
:
V = pi*8^2*45
V = pi*64*45
V = 9047.8 cubic inches
:
Convert to cubic ft
9047.8%2F1728 = 5.236 cu ft
:
5.236 * 7.5 = 39.3 gal.