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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
(A) 300,000
(B) 45,000
(C) 30,000
(D) 15,000
(E) 4,500
10 Dec 2017, 05:06
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V ∝ h*r^2 , where v= volume, h= height and r= radius of a cylinder .
So V= (hr^2 )k where k= constant .
So V1= 20000 cm^3= {h(10 cm)^2}k
V2= {h(15 cm)^2 }k
Dividing V1 by V2 we get,
V1/V2= (10/15)^2,
20000/V2= (2/3)^2=4/9,
So V2= 45000 cm^3,
(B) is the answer .
Sent from my iPhone using GMAT Club Forum
So V= (hr^2 )k where k= constant .
So V1= 20000 cm^3= {h(10 cm)^2}k
V2= {h(15 cm)^2 }k
Dividing V1 by V2 we get,
V1/V2= (10/15)^2,
20000/V2= (2/3)^2=4/9,
So V2= 45000 cm^3,
(B) is the answer .
Sent from my iPhone using GMAT Club Forum
