Volume of a sphere by circle-areas

Nikitin · Apr 26, 2013

Instead of the shell method, can't one find the volume of a sphere by integrating/summing its horizontal areas?

Mark44 · Apr 26, 2013

Nikitin said:

Instead of the shell method, can't one find the volume of a sphere by integrating/summing its horizontal areas?

Sure, if you mean using horizontal disks of thickness Δy. You can't sum areas to get a volume. You can sum increments of volume to get a total volume.

Volume of a sphere by circle-areas

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