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A cylinder of wax is 20 inches tall with a radius of 1 inch. If this c

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A cylinder of wax is 20 inches tall with a radius of 1 inch. If this c [#permalink]

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New post 30 Apr 2017, 11:00
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A cylinder of wax is 20 inches tall with a radius of 1 inch. If this cylinder is melted and poured into a new cylindrical mold with a radius of 2 inches, what will be the height of the new cylinder in inches?

A. 5
B. 10
C. 15
D.20
E. 40
[Reveal] Spoiler: OA

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Re: A cylinder of wax is 20 inches tall with a radius of 1 inch. If this c [#permalink]

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New post 30 Apr 2017, 21:18
Volume of old and new wax cylinder will be same.
Suppose, height of new cylinder = h;

so,
π*(1)^2*20 = π*(2)^2*h
=>4h = 20
=>h = 5

Answer A.
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A cylinder of wax is 20 inches tall with a radius of 1 inch. If this c [#permalink]

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New post 30 Apr 2017, 21:31
SajjadAhmad wrote:
A cylinder of wax is 20 inches tall with a radius of 1 inch. If this cylinder is melted and poured into a new cylindrical mold with a radius of 2 inches, what will be the height of the new cylinder in inches?

A. 5
B. 10
C. 15
D.20
E. 40


Volume of wax in a cylindrical candle is πr\(^2\)h, so if we find volume of wax in the candle to be melted, we can find height of candle with a different radius.

First candle's wax volume is π*1\(^2\)*20 = 20π

Second candle has radius 2, and its volume of wax is also 20π.

For second candle, solve for height: 20π = π*2\(^2\)*h ==> 20π = 4π*h

\(\frac{20π}{4π}\) = 5 = h. Height of new cylindrical candle is 5. Answer A.
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Re: A cylinder of wax is 20 inches tall with a radius of 1 inch. If this c [#permalink]

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New post 30 Apr 2017, 22:16
Volume of cylinder : pi*r*r*h
Given information: h=20, r=1
New cylinder : pi*2r*2r*h

We know that volume of both cylinders must be common

Therefore, height of new cyclinder must be 4 times smaller. Since the old cylinder has height(20inch), the new cylinder will have height(5inch) (Option A)

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Re: A cylinder of wax is 20 inches tall with a radius of 1 inch. If this c   [#permalink] 30 Apr 2017, 22:16
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