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A square of area 16m^2 is made from a metal wire of a thickness of 8mm

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Joined: 16 Jan 2018
Posts: 91
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A square of area 16m^2 is made from a metal wire of a thickness of 8mm  [#permalink]

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New post 27 Aug 2018, 22:28
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A square of area 16m^2 is made from a metal wire of a thickness of 8mm. What is the approximate total cost of the metal used? (Cost of metal is $6.25 per m^3)


A. $\(\frac{16 \pi}{10000}\)

B. $\(\frac{8\pi}{1000}\)

C. $\(\frac{16\pi}{1000}\)

D. $\(\frac{16\pi}{100}\)

E. $\(16\pi\)
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Joined: 20 Feb 2015
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Concentration: Strategy, General Management
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Re: A square of area 16m^2 is made from a metal wire of a thickness of 8mm  [#permalink]

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New post 28 Aug 2018, 00:16
blueviper wrote:
A square of area 16 \(m^2\) is made from a metal wire of a thickness of 8mm. What is the approximate total cost of the metal used? (Cost of metal is $6.25 per \(m^3\) )

A. $ \frac{16 \(\pi\) }{10000}

B. $ \frac{8 \(\pi\) }{1000}

C. $ \frac{16 \(\pi\) }{1000}

D. $ \frac{16 \(\pi\) }{100}

E. $ 16 \(\pi\)


perimeter of the square = length of the wire = 4*4=16
volume of wire = volume of cylinder with h=16m and r = 4 mm = 0.004 m
v = pi (0.004)^2 * 16 = pi * 16000000/16 = pi*1000000 m^3
price = pi * 1000000/6.25 = pi * 160000 = A
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Re: A square of area 16m^2 is made from a metal wire of a thickness of 8mm  [#permalink]

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New post 30 Aug 2018, 05:54
Is there any better explanation to solve this problem??? :dazed :shocked
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Re: A square of area 16m^2 is made from a metal wire of a thickness of 8mm  [#permalink]

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New post 30 Aug 2018, 06:21
1
blueviper wrote:
A square of area 16 \(m^2\) is made from a metal wire of a thickness of 8mm. What is the approximate total cost of the metal used? (Cost of metal is $6.25 per \(m^3\) )

A. $ \frac{16 \(\pi\) }{10000}

B. $ \frac{8 \(\pi\) }{1000}

C. $ \frac{16 \(\pi\) }{1000}

D. $ \frac{16 \(\pi\) }{100}

E. $ 16 \(\pi\)



Bunuel is possible to format answer choices ? :)
GMAT Club Bot
Re: A square of area 16m^2 is made from a metal wire of a thickness of 8mm &nbs [#permalink] 30 Aug 2018, 06:21
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