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jainan24
OA is different than what I get


I got E. Can't we have a cylinger with height 6 and radius 3.5(the base sitting on the 8x7 side)?

That gives us pi*(3.5)^2*6 = 73.5pi.
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jainan24
OA is different than what I get

I got E. Can't we have a cylinger with height 6 and radius 3.5(the base sitting on the 8x7 side)?

That gives us pi*(3.5)^2*6 = 73.5pi.


I agree.

For a cylendar, we obtain more volume by increasing the radius than by the height. :).... It's due to the root done on the radius : any increase is shapped by the curve x^2 not by a linear rule.
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OA is E, I guess the rule of thumb is first take the face with two largest sides (8 and 7), pick the diameter as smaller of two and then pick the height as the shortest side
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jainan24
OA is E, I guess the rule of thumb is first take the face with two largest sides (8 and 7), pick the diameter as smaller of two and then pick the height as the shortest side


Got E as well.

I think that to find the cylinder with the largest volume takes a bit more. Let´s say we have a rectangle box, container, etc. with a<b<c. The possible volumes would be

pi * (a/2)^2 * c
pi * (b/2)^2 * a
pi * (a/2)^2 * b

The 1st and the 2nd are always greater than the third. Now, between the 1st and the 2nd, we´d have to find out whether a^2 * c is < = > than b^2 * a, or, simplifying, whether a * c is < = > than b^2.
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I agree with Andr359.

For example, the largest cylinder for a cube of sides 4, 6 & 10.

would be obtained by pi * 2^2 * 10 = 40pi and not pi * 3^3 * 4 = 36pi
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I think instead of cube we call it cuboid or rectangular Parallelepiped

andr359 is right
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I have seen another one of these. They try to trick you with the the height. Just need to ignore spatial relations and take half the smaller of the largest two dimensions, square it and multiply by pi and third dimension.

Eric
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largest possible radius 7/2

so pi*6*7^2/4 = pi*49*3/2 = pi*73.5


E



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