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A gold ingot in the shape of a cylinder is melted

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Senior Manager
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A gold ingot in the shape of a cylinder is melted  [#permalink]

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New post 10 Jun 2019, 01:37
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Question Stats:

47% (02:16) correct 53% (02:14) wrong based on 17 sessions

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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
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Re: A gold ingot in the shape of a cylinder is melted  [#permalink]

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New post 10 Jun 2019, 01:50
\(pi*r^2*h= n*1/3*(\frac{pi*r^2}{5})*h/2\)
n=30


firas92 wrote:
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
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Re: A gold ingot in the shape of a cylinder is melted  [#permalink]

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New post 04 Aug 2019, 14:30
Solution as attached.
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A gold ingot in the shape of a cylinder is melted.jpg
A gold ingot in the shape of a cylinder is melted.jpg [ 226.24 KiB | Viewed 158 times ]


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Re: A gold ingot in the shape of a cylinder is melted   [#permalink] 04 Aug 2019, 14:30
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A gold ingot in the shape of a cylinder is melted

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