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

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Math Expert
Joined: 02 Sep 2009
Posts: 53060
In 1990, Sapir's Soup Company used a cylindrical can with radius 3 cen  [#permalink]

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07 Sep 2018, 00:19
00:00

Difficulty:

25% (medium)

Question Stats:

83% (01:38) correct 17% (02:20) wrong based on 33 sessions

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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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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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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.

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

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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 height=4 cm
Changed height=9 cm
$$π*3^2*4 = πr^2*9$$
r=2 cm
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In 1990, Sapir's Soup Company used a cylindrical can with radius 3 cen   [#permalink] 09 Sep 2018, 05:45
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