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Some glass vases in the shape of a right circular cylinder are to be

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Some glass vases in the shape of a right circular cylinder are to be  [#permalink]

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New post 24 Apr 2019, 11:15
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A
B
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Difficulty:

  55% (hard)

Question Stats:

50% (02:41) correct 50% (02:16) wrong based on 14 sessions

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Some glass vases in the shape of a right circular cylinder are to be shipped. For shipment they are to be packed into rectangular boxes. To ensure no damage, the vase must sit upright in the box and fit snugly against the top and bottom of the box. If the shipping box has dimensions of 6 inches by 8 inches by 10 inches, what is the minimum volume of a vase that could be packed in such a box?
A)\(50\pi\)
B) \(60\pi\)
C) \(72\pi\)
D) \(90\pi\)
E) \(100\pi\)

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Re: Some glass vases in the shape of a right circular cylinder are to be  [#permalink]

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New post 24 Apr 2019, 22:36
Volume of cylinder = pi * (r^2) * h
For radius to be min => diameter has to be equal to the least value of the three dimensions = 6
It follows that minimum value of 'h' will then be 8
Volume = pi*(3^2)*8 = 72pi
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Re: Some glass vases in the shape of a right circular cylinder are to be   [#permalink] 24 Apr 2019, 22:36

Some glass vases in the shape of a right circular cylinder are to be

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