# Volume of Sphere

• May 2nd 2009, 04:32 PM
chrozer
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, $V(t) = \frac {4}{3} \pi (2t + r)^3$ ?
• May 2nd 2009, 04:41 PM
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

• May 2nd 2009, 05:36 PM
chrozer
Quote:

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