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The volume of a cylindrical tank is directly proportional to

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The volume of a cylindrical tank is directly proportional to [#permalink] New post 20 Aug 2019, 08:00
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The volume of a cylindrical tank is directly proportional to the height and the square of the radius of the tank. If a certain tank with a radius of 10 centimeters has a volume of 20,000 cubic centimeters, what is the volume, in cubic centimeters, of a tank of the same height with a radius of 15 centimeters?


(A) 300,000

(B) 45,000

(C) 30,000

(D) 15,000

(E) 4,500
[Reveal] Spoiler: OA

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Re: The volume of a cylindrical tank is directly proportional to [#permalink] New post 05 Sep 2019, 19:03
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Carcass wrote:
The volume of a cylindrical tank is directly proportional to the height and the square of the radius of the tank. If a certain tank with a radius of 10 centimeters has a volume of 20,000 cubic centimeters, what is the volume, in cubic centimeters, of a tank of the same height with a radius of 15 centimeters?


(A) 300,000

(B) 45,000

(C) 30,000

(D) 15,000

(E) 4,500


Given that r=10 cm; R=15 cm;
=> Volume Pie x 10^2 x h = 20,000
Also, => Pie x 15^2 x h = x
Dividing them, we get
x=45,000
Re: The volume of a cylindrical tank is directly proportional to   [#permalink] 05 Sep 2019, 19:03
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