Paris Cowan

Mathematics

1 May, 02:46

A spherical balloon is inflated with gas at a rate of 600 cubic centimeters per minute.

(a) Find the rates of change of the radius when r = 50 centimeters and r = 85 centimeters.

r = 50? cm/min

r = 85? cm/min

(b) Explain why the rate of change of the radius of the sphere is not constant even though dv/dt is constant.

A.) dr/dt as a function runs parallel to the volume function, which is not linear

B.) The rate of change of the radius is a linear relationship whose slope is dV/dt

C.) The rate of change of the radius is a cubic relationship.

D.) The volume only appears constant; it is actually a rational relationship.

E.) dr/dt depends on r2, not simply r.