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A tank for holding water is in the shape of a right circular cylinder
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03 Feb 2022, 06:30
03 Feb 2022, 06:30
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A tank for holding water is in the shape of a right circular cylinder with height, h, of 8 feet. When the tank is 3/4 full, the volume of water in the tank is \(96\pi\) cubic feet. What is the diameter of the base of the tank?
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8 feet
A tank for holding water is in the shape of a right circular cylinder
[#permalink]
03 Feb 2022, 08:48
03 Feb 2022, 08:48
2
The tank of a right circular cylinder.
When the tank is \(\frac{3}{4}\) full, the volume of water in the tank is \(96\pi\) cubic feet.
Volume of the tank \(= \frac{3}{4}πr^2h = 96π\)
\(r^2 = \frac{96 * 4}{3 * 8}\)
\(r^2 = 16\)
\(r = 4\)
Diameter \(= 2r = 8\)
Answer 8
When the tank is \(\frac{3}{4}\) full, the volume of water in the tank is \(96\pi\) cubic feet.
Volume of the tank \(= \frac{3}{4}πr^2h = 96π\)
\(r^2 = \frac{96 * 4}{3 * 8}\)
\(r^2 = 16\)
\(r = 4\)
Diameter \(= 2r = 8\)
Answer 8
gmatclubot
A tank for holding water is in the shape of a right circular cylinder [#permalink]
03 Feb 2022, 08:48
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