# A water tank is in the shape of a right circular cylinder with a height of 20 feet and a volume of 320π cubic feet. What is the diameter, in feet, of the water tank?

1
by paulmich116

2014-11-07T22:56:09+08:00
The volume of a cylinder is defined by the formula:
V = π r ² h
or
V = (π d² h)/4
since you are asked of the diameter, we will use the formula involving diameter
given: V = 320π ft³
h = 20 ft
substitute to the formula
V = (πd²h)/4
320π = (πd²(20))/4
d² = 320(4)/20
d² = 64 ft²
d = 8 ft
therefore the diameter is 8ft
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