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# A cylinder is being filled with sand that weights 200kg /

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A cylinder is being filled with sand that weights 200kg / [#permalink]  03 Jun 2008, 06:59
A cylinder is being filled with sand that weights 200kg / cubic foot. The cylinder has a diameter of 1 foot and is 5 feet tall. How much sand is being used?
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Re: cylinder [#permalink]  03 Jun 2008, 07:01
A cylinder is being filled with sand that weights 200kg / cubic foot. The cylinder has a diameter of 1 foot and is 5 feet tall. How much sand is being used?

V= piR^2h

5*.5^2 --> 5/4 --> 1.25 cubic feet.

Thus 200+ 200/4 --> 250kg.
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Re: cylinder [#permalink]  03 Jun 2008, 07:52
i get 250*pi kgs ...
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Re: cylinder [#permalink]  03 Jun 2008, 09:12
A cylinder is being filled with sand that weights 200kg / cubic foot. The cylinder has a diameter of 1 foot and is 5 feet tall. How much sand is being used?

Volume of cylinder $$V = (pi)r^2h$$
Calculation yields $$V = (5/4)(pi)$$
Sand being used $$S = (5/4) X (pi) X 200 = 5 X 3.14 X 200 = 250(pi) kg$$

Last edited by snoor on 03 Jun 2008, 14:25, edited 1 time in total.
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Re: cylinder [#permalink]  03 Jun 2008, 09:15
pmenon wrote:
i get 250*pi kgs ...

oops =P forgot to write pi.
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Re: cylinder [#permalink]  03 Jun 2008, 10:19
GMATBLACKBELT wrote:
pmenon wrote:
i get 250*pi kgs ...

oops =P forgot to write pi.

you were making me sweat there for a sec, GMATBLACKBELT. When my answer doesnt match with yours, i get scared :D
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Re: cylinder [#permalink]  03 Jun 2008, 14:28
Volume Of Cylinder = pi* 0.5^2 * 5 = 1.25 pi
Sand Required @ 200 per cu ft = 1.25 * 200 * pi = 250 pi
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Re: cylinder [#permalink]  03 Jun 2008, 20:37
A cylinder is being filled with sand that weights 200kg / cubic foot. The cylinder has a diameter of 1 foot and is 5 feet tall. How much sand is being used?

Pi * (1/4) * 5 * 200 kgs = 250*(pi) Kgs
Re: cylinder   [#permalink] 03 Jun 2008, 20:37
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