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A road roller is used to press a ground of area 2200 sq.

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A road roller is used to press a ground of area 2200 sq. [#permalink] New post 21 Sep 2012, 20:53
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A road roller is used to press a ground of area 2200 sq. meter. How many rotations does it make?

(1) The diameter of the road roller is 1.75 m.
(2) The breadth of the road roller is 2 m.

[Reveal] Spoiler:
IMO - E OA - C
[Reveal] Spoiler: OA

Last edited by Bunuel on 22 Sep 2012, 02:30, edited 1 time in total.
Renamed the topic.
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Re: A road roller is used to press a ground of area 2200 sq. [#permalink] New post 22 Sep 2012, 06:43
A road roller is used to press a ground of area 2200 sq. meter. How many rotations does it make?

(1) The diameter of the road roller is 1.75 m.
(2) The breadth of the road roller is 2 m.


In order to find out the number of rotations we need the area of the cylinder. So, we need both the height and the diameter of the cylinder(roller)

Hence answer is C

and calucaltion for the same is
Number of rotations = 2200/(2pie *r * h)

where r = 1.75/2 m and h = 2m
So, number of rotations will be 100

Hope it helps!
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Re: A road roller is used to press a ground of area 2200 sq. [#permalink] New post 22 Sep 2012, 23:57
I thnk It should b A..

because we only only circumferance or area.. by diameter we l get the radius and we can get the rotation ..!!
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Re: A road roller is used to press a ground of area 2200 sq. [#permalink] New post 01 Aug 2013, 12:53
A road roller is used to press a ground of area 2200 sq. meter. How many rotations does it make?

(1) The diameter of the road roller is 1.75 m.
We don't know the "height" of the cylinder. for example, a cylinder with a height of 10 will have a greater surface area than a cylinder with a height of 1. The greater the surface area, the fewer the number of revolutions it would take to cover the area.
INSUFFICIENT

(2) The breadth of the road roller is 2 m.
This tells us nothing about the diameter of the roller. A very thin roller would need to make many more revolutions than a thick roller, as each revolution would cover more distance than with the smaller cylinder.
INSUFFICIENT

1+2)
d=1.75
h=2
2(3.14)*(.875^2) + 2(3.14)*(.875)*(2)
6.28*(.765) + 6.28*.875*2
4.8+10.99 = 15.79
SUFFICIENT

(C)
Re: A road roller is used to press a ground of area 2200 sq.   [#permalink] 01 Aug 2013, 12:53
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A road roller is used to press a ground of area 2200 sq.

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