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Connect a spherical balloon’s volume and radius rates

Air is pumped into a spherical balloon at 10 cm3/s10\text{ cm}^3/\text{s}. Find the exact rate of change of its radius when the radius is 5 cm5\text{ cm}. Given V=43πr3V=\dfrac43\pi r^3.

CJC · Lecture · Example 12

Write the relevant derivative and evaluate it at the specified point.

Read the worked solution