Q3 of 78 Page 13

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

Volume of Sphere =


Surface Area of Sphere = 4 π r2


We need to find, where V = Volume of the Sphere and S = Surface Area of the Sphere.








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

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