Please help it's urgent

Question

Bobo the clown is inflating a balloon the shape of the balloon. The shape of the ballon is a sphere; the formula for the volume of a sphere is given by V equals four over three pie R cubed where V is the volume and R is the radius. The volume of the balloon is increasing at a constant rate; the equation for the volume with respect to time is given by the equation equals V= 600 T where V is the volume in centimeters cubed and T is the time in seconds

1. Invert the formula for the volume of a sphere by solving R in terms of V


2. Creating equation for the radius of the balloon in terms of time by substituting for V in your inverted formula


3. Find the radius of the balloon after 12 seconds

Answer 1

1. V = (4/3)πR³ 

 

   3V = 4πR³   So, R³ = (3V)/(4π)

 

                           R = [(3V)/(4π)]^1/3

 

2. Since V = 600T, we have R = [1800T/(4π)]^1/3

 

                                          = [(450T/(π)]^1/3

 

3. When T = 12, R = (5400/π)^1/3 = 6(25/π)^1/3