bubbles8245 bubbles8245
  • 24-02-2022
  • Mathematics
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A cylinder has a height equal to its radius.
Find the rate of change of volume V with respect to radius.

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adioabiola
adioabiola adioabiola
  • 07-03-2022

The rate of change of the volume with respect to radius is; 4πr

Rate of change of a cylinder's volume

Since the height of the cylinder is equal to it's radius;

It follows that the volume of the cylinder is given by;

  • V = 2πr².

On this note, the rate of change of the volume with respect to radius is;

  • dV/dr = 4πr

Read more on rate of change;

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