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A closed cylindrical tank contains 16π cubic feet of water and is fill
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25 Oct 2021, 10:42
25 Oct 2021, 10:42
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58% (01:57) correct
41% (01:45) wrong based on 17 sessions
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A closed cylindrical tank contains \(16\pi\) cubic feet of water and is filled to one-quarter of its capacity. When the tank is placed upright on its circular base on level ground, the height of the water in the tank is equal to the diameter of the tank’s base. What is the radius of the tank?
(A) 1
(B) 2
(C) 2√2
(D) 4
(E) 8
(A) 1
(B) 2
(C) 2√2
(D) 4
(E) 8
A closed cylindrical tank contains 16π cubic feet of water and is fill
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26 Oct 2021, 19:33
26 Oct 2021, 19:33
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Carcass wrote:
A closed cylindrical tank contains \(16\pi\) cubic feet of water and is filled to one-quarter of its capacity. When the tank is placed upright on its circular base on level ground, the height of the water in the tank is equal to the diameter of the tank’s base. What is the radius of the tank?
(A) 1
(B) 2
(C) 2√2
(D) 4
(E) 8
(A) 1
(B) 2
(C) 2√2
(D) 4
(E) 8
Given: Cylindrical tank is filled \(\frac{1}{4}\) when standing on it's base so \(\frac{\pi r^2h}{4} = 16\pi\)
\(r^2h = 64\)
Next, height of water = diameter => \(\frac{h}{4} = 2r\)
\(h = 8r\)
Substituting in the first equation: \(r^2*8r = 64 => r=2\)
Answer is B)
gmatclubot
A closed cylindrical tank contains 16π cubic feet of water and is fill [#permalink]
26 Oct 2021, 19:33
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