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A cylindrical tank, with radius and height both of 10 feet, is to be r

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A cylindrical tank, with radius and height both of 10 feet, is to be r  [#permalink]

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New post 29 Sep 2018, 07:54
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A
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C
D
E

Difficulty:

  55% (hard)

Question Stats:

50% (01:35) correct 50% (02:20) wrong based on 8 sessions

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A cylindrical tank, with radius and height both of 10 feet, is to be redesigned as a cone, capable of holding twice the volume of the cylindrical tank. There are two proposed scenarios for the new cone: in scenario (1) the radius will remain the same as that of the original cylindrical tank, in scenario (2) the height will remain the same as that of the original cylindrical tank. What is the approximate difference in feet between the new height of the cone in scenario (1) and the new radius of the cone in scenario (2)?

a) 13

b) 25

c) 30

d) 35

e) 40




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Re: A cylindrical tank, with radius and height both of 10 feet, is to be r  [#permalink]

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New post 29 Sep 2018, 08:14
Original area of cylinder = pie*r*r*h
New area of cylinder =2*pie*r*r*h
Area of cone=(pie*r1*r1*h1)/3
Case 1: radius constant
So, 2* Area of original cylinder = Area of cone=>2*h=h1/3=>h1= 6h
Case 2: height constant
So, 2*r^2=(r1^2)/3=>r1=sqrt(6)*r1
On substituting the values we get 6h-(sqrt(6)*r1)=35
D is the correct choice.
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Re: A cylindrical tank, with radius and height both of 10 feet, is to be r  [#permalink]

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New post 29 Sep 2018, 09:48
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bettatantalo wrote:
A cylindrical tank, with radius and height both of 10 feet, is to be redesigned as a cone, capable of holding twice the volume of the cylindrical tank. There are two proposed scenarios for the new cone: in scenario (1) the radius will remain the same as that of the original cylindrical tank, in scenario (2) the height will remain the same as that of the original cylindrical tank. What is the approximate difference in feet between the new height of the cone in scenario (1) and the new radius of the cone in scenario (2)?

a) 13

b) 25

c) 30

d) 35

e) 40




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Discussed here: https://gmatclub.com/forum/a-cylindrica ... 87675.html
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Re: A cylindrical tank, with radius and height both of 10 feet, is to be r   [#permalink] 29 Sep 2018, 09:48
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