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# A gold ingot in the shape of a cylinder is melted

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Senior Manager
Joined: 16 Jan 2019
Posts: 426
Location: India
Concentration: General Management
WE: Sales (Other)
A gold ingot in the shape of a cylinder is melted  [#permalink]

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10 Jun 2019, 01:37
2
00:00

Difficulty:

55% (hard)

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
Director
Joined: 19 Oct 2018
Posts: 791
Location: India
Re: A gold ingot in the shape of a cylinder is melted  [#permalink]

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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
Manager
Joined: 29 Dec 2018
Posts: 80
Location: India
WE: Marketing (Real Estate)
Re: A gold ingot in the shape of a cylinder is melted  [#permalink]

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04 Aug 2019, 14:30
Solution as attached.
Attachments

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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