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December 17, 2025, 09:37:25 am
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Author Topic: Volume of cones  (Read 567 times)  Share 

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Studyinghard

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Volume of cones
« on: May 07, 2011, 07:10:23 pm »
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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 cross section 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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yawho

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Re: Volume of cones
« Reply #1 on: May 08, 2011, 06:00:20 pm »
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=volume of cone + int(0,4)pi ydy
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