9.81 A simple pendulum's period (time it takes to complete one cycle) can L be modeled with the radical/root function T(L) = 271 where T is in seconds and L is in meters. Find the period of a pendulum of length 3 meters, and the length of a pendulum with period 2 seconds. Include a graph with an appropriate restricted domain for geometric support. Problem 3. Find a model for the radius of a sphere as a function of its volume, and use it to estimate the radius of the moon having a volume of approximately 2.1598 x 10 m. Include a graph with an appropriate restricted domain for geometric support.