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November 01, 2025, 03:16:16 pm
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Author Topic: Volume  (Read 600 times)  Share 

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Studyinghard

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Volume
« on: May 16, 2011, 12:26:26 am »
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A right circular cone has height 4 cm and base radius 2.  It is over-filled with ice cream,
in the usual way. Place the cone so its vertex is at the origin, and its axis lies along the
positive y–axis, and take the cross-section containing the x-y plane. The top of this crosssection is a piece of the parabola y = 8 − x^2 . The whole filled ice-cream cone is obtained by rotating this cross-section about the y–axis.
What is the volume of the ice cream?
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RobM8

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Re: Volume
« Reply #1 on: May 16, 2011, 02:01:02 pm »
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Attached.

Note that the volume of the cone could have been figured out much more easily using the given information and the formula on the VCAA formula sheet.
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