Help please, calculus- rates of change

[fran182]

spherical goo that is precisely cubic root of 296 inches in diameter. As Harvey pumps in air at a rate of 36pie in³/sec, the thickness of the spherical goo decreases. what is the rate of change of the thickness of the GOO when the radius of the sphere of air inside is 3 inches?

 

[stapel]

spherical goo that is precisely cubic root of 296 inches in diameter. As Harvey pumps in air at a rate of 36pie in³/sec, the thickness of the spherical goo decreases. what is the rate of change of the thickness of the GOO when the radius of the sphere of air inside is 3 inches?

The first "sentence" is actually a fragment, suggesting that there's more to this exercise than what has been posted. Kindly please check the text and reply with corrections (including the use of standard math terminology, such as "cube root", which is what I suspect is meant by "cubic root"). Thank you!