the radius of cylinder increase at the rate of 1cm/s and it's height decrease at the rate of 1cm/s .find the rate of change of its volume when the radius is5cm and the height is 15cm.

the radius of cylinder increase at the rate of 1cm/s and it's height d

1.	the radius of cylinder increase at the rate of 1cm/s and it's height decrease at the rate of 1cm/s .find the rate of change of its volume when the radius is5cm and the height is 15cm.
Answer» Let V be the volume, r be the RADIUS h be the HEIGHT of the cylinder for the time 't'. V=πr2hV=πr2h Given drstdrst=−3;cmsec=−3;cmsec r=3cmr=3cm h=5cmh=5cm dvdt=?dvdt=? V=πr2hV=πr2h dVdtdVdt=π[r2dhdt=π[r2dhdt+h2rdrdt]+h2rdrdt] =π[9×−3+2×2×5×3×2]=π[9×−3+2×2×5×3×2] =33π=33π Hence 2 is the CORRECT answer

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the radius of cylinder increase at the rate of 1cm/s and it's height decrease at the rate of 1cm/s .find the rate of change of its volume when the radius is5cm and the height is 15cm.

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