# Math Help - Volume of Sphere

1. ## Volume of Sphere

A spherically shaped balloon is being inflated so that the radius is changing at a constant rate of 2 in./sec. Find an algebraic representation for V(t), the volume in terms of time, t.

Would this be the right algebraic equation, $V(t) = \frac {4}{3} \pi (2t + r)^3$ ?

2. Adding r inside the parentheses is redundant because r=2t. You see what I mean? So everything is right, but I would write the eqaution like this:

V(t)=(4/3)(pi)(2t)^3

3. Originally Posted by VonNemo19
Adding r inside the parentheses is redundant because r=2t. You see what I mean? So everything is right, but I would write the eqaution like this:

V(t)=(4/3)(pi)(2t)^3