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1. [40.7 Points] DETAILS LARCALCET7 3.7.014. 0l3 Submissions Used A spherical balloon is inflated with gas at a rate of 900 cubic centimeters per minute. (a) Find the rates of change of the radius when r = 30 centimeters and r = 55 centimeters. r= 30 cm/min r: 55 cm/min (b) Explain why the rate of change of the radius of the sphere is not constant even though dV/dt is constant. 0 The rate of change of the radius is a cubic relationship. 0 The rate of change of the radius is a linear relationship whose slope is %. O % as a function runs parallel to the volume function, which is not linear. dr 2 O E depends on r , not simply r. O The volume only appears constant; it is actually a rational relationship