A spherical balloon is inflated with gas at a rate of 700

Last updated: 8/12/2022

A spherical balloon is inflated with gas at a rate of 700 cubic centimeters per minute. (a) Find the rates of change of the radius when r = 70 centimeters and r = 85 centimeters. r = 70 r = 85 1 88 dr dt x cm/min cm/min (b) Explain why the rate of change of the radius of the sphere is not constant even though dv/dt is constant. The rate of change of the radius is a cubic relationship. dv The rate of change of the radius is a linear relationship whose slope is dt depends on r², not simply r. dr as a function runs parallel to the volume function, which is not linear. dt The volume only appears constant; it is actually a rational relationship. Xx