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Mathematics - Application of Derivative Question with Solution | TestHub

MathematicsApplication of DerivativeRate MeasureEasy2 minPYQ_2013

MathematicsEasysingle choice

The rate of change of the surface area of a sphere of radius $r$ , when the radius is increasing at the rate of $2 cm / s$ is proportional to

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Answer:

Solution:

Surface area of sphere, $S = 4 π r^{2} and \frac{dr}{dt} = 2 ∴ \frac{ds}{dt} = 4 π \times 2 r \frac{dr}{dt} = 8 π r \times 2 = 16 π r \Rightarrow \frac{ds}{dt} \propto r$

Stream:VITEEESubject:MathematicsTopic:Application of DerivativeSubtopic:Rate Measure

⏱ 2mℹ️ Source: PYQ_2013

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