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og 11 ps 191

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Senior Manager
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og 11 ps 191 [#permalink]

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New post 15 Apr 2009, 20:56
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The inside dimensions of a rectangular wooden box are 6 inches by 8 in. by 10 in.A cylindrical canister is to be placed inside the box so that it stands upright when the closed box rests on one of its 6 faces.Of all such canisters that could be used,what is the radius of the one with max. volume?

Pls explain guys.Solution is nt clear.
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Re: og 11 ps 191 [#permalink]

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New post 16 Apr 2009, 01:33
Radius should be 4 in.

What's OA?
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Re: og 11 ps 191 [#permalink]

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New post 19 Apr 2009, 22:30
abhishekik wrote:
Radius should be 4 in.

What's OA?


Can you explaine your answer? Thanks!
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Re: og 11 ps 191 [#permalink]

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New post 19 Apr 2009, 23:11
remember that the base the rectangular box is not a sqaure. Its a rectangle and the diameter of the cylinder shall therefore be limited by the width of the rectangular base. Given this we need to find the radius that will give us the max. volume.

taking 6 and 8 as base of rectangle:-

Volume is pi X 3^2 X 10

taking 6 and 10 as base of rectangle

Volume is pi 3^2 X 8

taking 8 and 10 as base of rectangle

Volume is pi 4^2 X 10 ----->>> this gives the max. volume.

Therefore our answer is 4
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Thanks
rampuria

Re: og 11 ps 191   [#permalink] 19 Apr 2009, 23:11
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