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

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27 Aug 2018, 22:28
3
00:00

Difficulty:

75% (hard)

Question Stats:

32% (02:06) correct 68% (02:30) wrong based on 31 sessions

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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.$$$16\pi$$
Director
Joined: 20 Feb 2015
Posts: 796
Concentration: Strategy, General Management
Re: A square of area 16m^2 is made from a metal wire of a thickness of 8mm  [#permalink]

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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
Intern
Joined: 04 Jul 2018
Posts: 10
Re: A square of area 16m^2 is made from a metal wire of a thickness of 8mm  [#permalink]

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30 Aug 2018, 05:54
Is there any better explanation to solve this problem???
VP
Joined: 09 Mar 2016
Posts: 1085
Re: A square of area 16m^2 is made from a metal wire of a thickness of 8mm  [#permalink]

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

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