2 Use the given graph to estimate the left Riemanr number of

2. Use the given graph to estimate the left Riemanr number of subdivisions. A: bh A MATH cos elakd Rateí. 12. exampe Findl the rate at which the radius ot balicon is ncreasin omeoru is intlating a spherical aloon ea dr dt ine

Solution

volume of sphere = V = (4/3)r³

given dV/dt = 2 inch/sec

dV/dt = 4r²dr/dt

2 = 4(4)²dr/dt

dr/dt = (1/32) inch per second

radius of balloon is increasing at rate of (1/32) inch per sec