The radius r, in inches, of a spherical balloon is related to the volume V by r(V)= ∛3V/4π
Air is pumped into the balloon so the volume after t seconds is given by V(t)=16+14t.
a. Find the expression for the composite function r(V(t)).
b. What is the exact time in seconds when the radius reaches 12 inches?
For part a I got r(V(t)) = ∛(3(16+14t)/4π)
but for part b is got 515.9 s and it says it's wrong. I've tried it a few times and keep getting a similar answer. What am I doing wrong?
Thanks
3 answers
Okay, question is not for you then... No offense meant.
😅It is fine... no offence taken!
well, I get 515.87
But the exact time is 8/7 (144π - 1)
But the exact time is 8/7 (144π - 1)
3 answers