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cubic feet of earth are to be removed in con
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26 Dec 2020, 03:49
26 Dec 2020, 03:49
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Question Stats:
80% (01:16) correct
20% (00:55) wrong based on 15 sessions
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If \(2.5 \pi \times 10^5\) cubic feet of earth are to be removed in constructing a tunnel in the shape of a right circular cylinder 20 feet in diameter, what will be the length, in feet, of the tunnel?
(A) 25,000
(B) 12,500
(C) 5,000
(D) 2,500
(E) 1,250
Kudos for the right answer and explanation
(A) 25,000
(B) 12,500
(C) 5,000
(D) 2,500
(E) 1,250
Kudos for the right answer and explanation
Re: cubic feet of earth are to be removed in con
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26 Dec 2020, 08:02
26 Dec 2020, 08:02
1
The volume of the earth is given.
Now as much volume of the earth will be taken out as the volume of the cylinder.
Cylinder's diameter = 20, Radius = 1
Height of the cylinder = h
Volume of the cylinder V = πr^2 * h = 100 π * h
V = \(2.5 \pi \times 10^5\) = 100 π * h
h = 2500
Answer D
Now as much volume of the earth will be taken out as the volume of the cylinder.
Cylinder's diameter = 20, Radius = 1
Height of the cylinder = h
Volume of the cylinder V = πr^2 * h = 100 π * h
V = \(2.5 \pi \times 10^5\) = 100 π * h
h = 2500
Answer D
gmatclubot
Re: cubic feet of earth are to be removed in con [#permalink]
26 Dec 2020, 08:02
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