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A closed cylindrical tank contains 20 cubic feet of water and is fill
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24 Sep 2021, 00:10
24 Sep 2021, 00:10
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62% (02:37) correct
37% (02:42) wrong based on 35 sessions
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A closed cylindrical tank contains \(20 \pi\) cubic feet of water and is filled to half its capacity. When the tank is placed upright on its circular base on level ground, the height of the water in the tank is 5 feet. When the tank is placed on its side on level ground, what is the height, in feet, of the surface of the water above the ground?
(A) 1
(B) 1.5
(C) 2
(D) 2.5
(E) 3
(A) 1
(B) 1.5
(C) 2
(D) 2.5
(E) 3
Re: A closed cylindrical tank contains 20 cubic feet of water and is fill
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24 Sep 2021, 07:34
24 Sep 2021, 07:34
1
Carcass wrote:
A closed cylindrical tank contains 20π cubic feet of water and is filled to half its capacity. When the tank is placed upright on its circular base on level ground, the height of the water in the tank is 5 feet. When the tank is placed on its side on level ground, what is the height, in feet, of the surface of the water above the ground?
(A) 1
(B) 1.5
(C) 2
(D) 2.5
(E) 3
(A) 1
(B) 1.5
(C) 2
(D) 2.5
(E) 3
Since the tank is half filled, when it's placed on the side, the water will occupy the same half meaning, height of water will be the radius of the circular base.
\(20\pi = \pi * r^2 * 5\)
\(r = 2\)
Answer is C) 2
Re: A closed cylindrical tank contains 20 cubic feet of water and is fill
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03 Feb 2024, 13:34
03 Feb 2024, 13:34
eskay1981 wrote:
Carcass wrote:
A closed cylindrical tank contains 20π cubic feet of water and is filled to half its capacity. When the tank is placed upright on its circular base on level ground, the height of the water in the tank is 5 feet. When the tank is placed on its side on level ground, what is the height, in feet, of the surface of the water above the ground?
(A) 1
(B) 1.5
(C) 2
(D) 2.5
(E) 3
(A) 1
(B) 1.5
(C) 2
(D) 2.5
(E) 3
Since the tank is half filled, when it's placed on the side, the water will occupy the same half meaning, height of water will be the radius of the circular base.
\(20\pi = \pi * r^2 * 5\)
\(r = 2\)
Answer is C) 2
If you lie the tank on its side, the water will spread out to occupy the entire lenght making it 10 why did you still use the lenght as 5?
