Question 117128This question is from textbook
: how many gallons of water can be stored in a cylindrical tank 35 feet high and 12 ft. in diameter? round to the nearest whole number
This question is from textbook
Answer by algebraparty(2)   (Show Source):
You can put this solution on YOUR website! Answer:
The volume of a cylinder is calculated by the following formula:
Volume of cylinder = (pi)*(r^2)*height
Also we know that,
Diameter = Twice the radius, here the diameter is 12 ft.
D = 2r
12 = 2(r)
12/2 = r = 6
radius of cylinder = 6 ft
Volume of cylinder = (22/7)*(6^2)*35
Volume of cylinder = 3960 ft^3
As 1 cubic foot = 7.48 gallons
Explanation:
There are 231 cubic inches in one US gallon. Since a cubic foot is 12 by 12 by 12 inches, a cubic foot has 1728 cubic inches. Thus one cubic foot = 1728 cubic inches = (1728/231) gallons = 7.48 gallons.
Thus Volume of Cylinder in gallons = 29620.8 gallons
Therefore to the nearest whole number Cylinder can hold 29621 gallons of water.
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