(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A right circular cone has height 6 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–axis. 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?

2. Relevant equations

3. The attempt at a solution

So for I have

x^{2}= 8-y

v = pi . integral((8-y)dx) from 0 to 8

I am not sure if I am on the right path though.

Many thanks,

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# Homework Help: Circular cone volume through integration

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