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If V=(4)/(3)pir^3 , at what rate in cu...

If `V=(4)/(3)pir^3` , at what rate in cubic units is `V` increasing when `r=10` and `(dr)/(dt)=0.1`?

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To find the rate at which the volume \( V \) is increasing when \( r = 10 \) and \( \frac{dr}{dt} = 0.1 \), we start with the formula for the volume of a sphere: \[ V = \frac{4}{3} \pi r^3 \] ### Step 1: Differentiate \( V \) with respect to time \( t \) ...
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