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13. Derivative as a Rate Measurer
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Q2 of 78 Page 13

Find the rate of change of the volume of a sphere with respect to its diameter.

The volume of a Sphere =


Where D = diameter of the Sphere


We need to find, where V = Volume of the sphere and D = Diameter of the Sphere.



Hence, Rate of change of Volume of Sphere with respect to the diameter of the Sphere is given by .


More from this chapter

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1

Find the rate of change of the total surface area of a cylinder of radius r and height h, when the radius varies.

3

Find the rate of change of the volume of a sphere with respect to its surface area when the radius is 2 cm.

4

Find the rate of change of the area of a circular disc with respect to its circumference when the radius is 3 cm.

5

Find the rate of change of the volume of a cone with respect to the radius of its base.

Questions · 78
13. Derivative as a Rate Measurer
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