Gas is being pumped into a spherical balloon at the rate of . Then the rate at which the radius increases when it reaches the value is
Step 1. Given Data,
Spherical balloon pumped at the Rate (where, is the volume of sphere.)
Radius
Step 2. We have to calculate the rate of increase of radius,
We know that,
Volume of Sphere
Differentiating equation with respect to time we get,
Putting the given value in the equation we get,
Hence, the rate of increase of radius.
Hence, option A is correct.