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If the height of the cylinder is 2, and the area of the base is 5, its volume is 10*pi. Each cone then has a height of 1 and base area of 1, and has a volume of pi/3, so the volume of the cylinder is 30 times that of a cone, and the answer is 30.

But what is the source? You'll never need the volume-of-a-cone formula on the GMAT.
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A gold ingot in the shape of a cylinder is melted and the resulting molten metal is molded into few identical conical ingots. If the height of each conical ingot is half the height of the original cylinder and the area of the circular base of the cone is one fifth that of the cylinder, how many conical ingots can be made?

A. 60

B. 10

C. 30

D. 20

E. 40


Are You Up For the Challenge: 700 Level Questions

Volume of the cylinder: Pi*R^2*H
Volume of the cone: (Pi*r^2*h)/3

Given:
Height of cone is half of the height of the cylinder so, h = H/2
Area of the base of the cone is 1/5 of the area of the base of the cylinder. so, Pi*r^2= Pi*R^2/5
Let from one cylindrical gold ingot n, conical ingots can be formed.

So, Pi*R^2*H = n * [(Pi*R^2)/5*(H/2)]/3
On solving we will get n = 5*2*3 = 30. C
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