A spherical balloon is being inflated, it's radius (in centimeters) after t minutes is given by r(t)= 3(t)^(1/3) where 0 is less than equal to t and t is less than equal to 10. For each of the following, find the rate of change with respect to t at t=8.
a. r(t)
b. The volume of the balloon [Hint: V= 4/3(pi)r^3]
c. The surface area of the balloon [Hint: A= 4(pi)r^2]

Question

A spherical balloon is being inflated, it's radius (in centimeters) after t minutes is given by r(t)= 3(t)^(1/3) where 0 is less than equal to t and t is less than equal to 10. For each of the following, find the rate of change with respect to t at t=8.
a. r(t)
b. The volume of the balloon [Hint: V= 4/3(pi)r^3]
c. The surface area of the balloon [Hint: A= 4(pi)r^2]

anonymous · Answer

A. Take the derivative, then sub in 8
B. Take the derivative, then plug in the answer for A.
c. Take the derivative, then plug in the answer for A. 

Does that help?

anonymous · Answer

Thanks