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Find the Rate of Change of the Volume of a Cone with Respect to the Radius of Its Base ?

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प्रश्न

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

योग
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उत्तर

Let V be the volume of the cone. Then,

V =\[\frac{1}{3}\pi r^2 h\]

\[\Rightarrow \frac{dV}{dr} = \frac{2}{3}\pi rh\]

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अध्याय 12: Derivative as a Rate Measurer - Exercise 13.1 [पृष्ठ ४]

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आर.डी. शर्मा Mathematics Volume 1 and 2 [English] Class 12
अध्याय 12 Derivative as a Rate Measurer
Exercise 13.1 | Q 5 | पृष्ठ ४

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