Aspherical balloon is being inflated at a rate of 3 cubic inches per second. determine the change in the rate of the radius. how fast is the radius of the balloon changing at the instant the balloon’s diameter is 12 inches? is the radius changing more rapidly when d=12 or when d=16 ? why?

The rate rate of change of radius is inches per second when the diameter is 12 inches.

The radius is changing more rapidly when the diameter is 12 inches.

Step-by-step explanation:

Consider the provided information.

A spherical balloon is being inflated at a rate of 3 cubic inches per second.

The volume of sphere is

Differentiate the above formula with respect to time.

Substitute the respective values in the above formula,

The rate rate of change of radius is inches per second when the diameter is 12 inches.

When d=16

Thus, the radius is changing more rapidly when the diameter is 12 inches.

dalila is incorrect. the whisker on the left is very long, going all the way out to 5. the whisker goes from 5 to 30, so it has a spread of 25. the rest of the box plot values are closer together, so 5 is an outlier