Volume of Inflating Spherical Balloon as a Function of Time
Problem
A meteorologist is inflating a spherical balloon with a helium gas. If the radius of a balloon is changing at a rate of 1.5 cm/sec., express the volume V of the balloon as a function of time t (in seconds). Hint: Use composite function relationship Vsphere = 4/3 πr3 as a function of x (radius), and x (radius) as a function of t (time).
| A. V(t) = 5/2 πt3 | C. V(t) = 9/2 πt3 |
| B. V(t) = 7/2 πt3 | D. V(t) = 3/2 πt3 |