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I'm doing this question for my maths assignment and I'm finding it quite annoying to find the right answer.

My question is. The volume of a sphere is given by the formula

$$ V= \frac{4 \pi r^3}{3} $$ find the rate of change of the volume with respect to r.?

EHH
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Shannon Carter
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2 Answers2

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You should just find the differential coefficient with respect to $r$

$$ V= \frac{4 \pi r^3}{3} ; \; \frac{dV}{dr}= 4 \pi r^2. $$

It is known that the volume rate equals its area.

Narasimham
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Just calculate the differential of $v=(4πr^3)/3$ that is $v'=3*(4πr^2)/3$ = $v'=4πr^2$

EHH
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esteban
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