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A machine begins pouring corn into an open silo at a

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A machine begins pouring corn into an open silo at a [#permalink]

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New post 25 Aug 2008, 07:04
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A machine begins pouring corn into an open silo at a constant rate of 3 cubic meters per minute. At the same time, a painter begins painting the outside wall of the silo. If the silo has the shape of a right circular cylinder with an inner wall radius of 5 meters and an outer wall radius of 6 meters, will the silo be filled to capacity with corn before the surface of the outside wall is completely painted?

(1) The painter paints at a constant rate of 1 square meter per minute.

(2) The height of the silo is 18 meters.

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Re: DS - corn [#permalink]

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New post 25 Aug 2008, 07:27
sarzan wrote:
A machine begins pouring corn into an open silo at a constant rate of 3 cubic meters per minute. At the same time, a painter begins painting the outside wall of the silo. If the silo has the shape of a right circular cylinder with an inner wall radius of 5 meters and an outer wall radius of 6 meters, will the silo be filled to capacity with corn before the surface of the outside wall is completely painted?

(1) The painter paints at a constant rate of 1 square meter per minute.

(2) The height of the silo is 18 meters.



hs = height corn filled in a minute

w*l*hs =3 --> hs = 3/(5*6) = 1/10

(1) The painter paints at a constant rate of 1 square meter per minute.

hp = height painter paints in a minute

2(w*hp+l*hp) = 1
--> ( 2(5*hp+6*hp)=1
hp= 1/22

will the silo be filled to capacity with corn before the surface of the outside wall is completely painted?
Yes .. hs > hp

Sufficient

(2) The height of the silo is 18 meters
Insuffcient.. We don't the rate at which painting..

A
What is OA.

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Re: DS - corn   [#permalink] 25 Aug 2008, 07:27
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