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In 1990, Sapir's Soup Company used a cylindrical can with radius 3 cen

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In 1990, Sapir's Soup Company used a cylindrical can with radius 3 cen  [#permalink]

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New post 07 Sep 2018, 00:19
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Question Stats:

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In 1990, Sapir's Soup Company used a cylindrical can with radius 3 centimeters, filled to a height of 4 centimeters. If in 1995, Sapir's Soup Company changed the height of the can by 5 centimeters and filled it with the same amount of soup, which of the following could be the radius of the can in 1995?


A. 1
B. 2
C. 4
D. 8
E. 9

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Re: In 1990, Sapir's Soup Company used a cylindrical can with radius 3 cen  [#permalink]

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New post 07 Sep 2018, 08:08
Bunuel wrote:
In 1990, Sapir's Soup Company used a cylindrical can with radius 3 centimeters, filled to a height of 4 centimeters. If in 1995, Sapir's Soup Company changed the height of the can by 5 centimeters and filled it with the same amount of soup, which of the following could be the radius of the can in 1995?


A. 1
B. 2
C. 4
D. 8
E. 9


Given volume of cylindrical can in 1990(r=3, h=4)=volume of cylindrical can in 1995(r=to be determined, h=4+5=9)
Or, \(\pi*3^2*4=\pi*r^2*9\)
Or, \(r^2=\frac{9*4}{9}\)
Or, \(r=\sqrt{4}=2\)

Ans. (B)
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Re: In 1990, Sapir's Soup Company used a cylindrical can with radius 3 cen  [#permalink]

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New post 07 Sep 2018, 08:12
I agree with the other posters on the math. If you are pressed for time or cannot remember the formula, the new r must be smaller than the old r, so flip a coin between A and B and move on.

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In 1990, Sapir's Soup Company used a cylindrical can with radius 3 cen  [#permalink]

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New post 09 Sep 2018, 05:45
Bunuel wrote:
In 1990, Sapir's Soup Company used a cylindrical can with radius 3 centimeters, filled to a height of 4 centimeters. If in 1995, Sapir's Soup Company changed the height of the can by 5 centimeters and filled it with the same amount of soup, which of the following could be the radius of the can in 1995?


A. 1
B. 2
C. 4
D. 8
E. 9


Initial radius=3 cm
Initial height=4 cm
Changed height=9 cm
\(π*3^2*4 = πr^2*9\)
r=2 cm
Answer B.
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In 1990, Sapir's Soup Company used a cylindrical can with radius 3 cen &nbs [#permalink] 09 Sep 2018, 05:45
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