calculus question

Question

Helium is being pumped into a spherical balloon at a rate of 3 cubic centimeters per second. How fast is the radius of the balloon increasing when the radius is 10 centimeters? Round your answer to four decimal places.

Answer 1

The formula for the volume of a sphere:

V = (4/3)πr³

Finding the derivative with respect to time (t):

dV/dt = 4πr²(dr/dt)

Substitute the given values and solve for dr/dt; replace dVdt with 6 cm³/sec and r with 6cm.

I am sure you can take it from there.