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Applications of Derivatives

Quick practice

Question 1 of 5

Air is filled inside a spherical balloon. Find the rate at which the volume of the balloon is changing with respect to the radius, provided the radius of the balloon is 6m.

A

\frac{7}{4 \pi} \mathrm{m}^{2}

B

\frac{3}{2 \pi} \mathrm{m}^{2}

C

144 \pi \mathrm{m}^{2}

D

\frac{9}{14 \pi} \mathrm{m}^{2}

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