Find the volume V of the described solid S. The base of S is a circular disk with radius r....


Find the volume {eq}V {/eq} of the described solid {eq}S {/eq}.

The base of {eq}S {/eq} is a circular disk with radius {eq}r {/eq}. Parallel cross-sections perpendicular to the base are squares.

Volume of Solid:

To find the volume of the solid whose cross section is given, we use definite integration. In this process we integrate the volume of the cross section within the required limits. This method is called as Finding Volume using cross section.

Answer and Explanation:

Answer {eq}\frac{16r^{3}}{3}~unit ~cube {/eq}


The figure below shows the solid S , its circular base with equation...

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Learn more about this topic:

How to Measure Liquid Volume

from Holt Physical Science: Online Textbook Help

Chapter 2 / Lesson 2

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