D2 SOLVE STEP BY STEP IN DIGITAL FORMAT Consider a metal sphere that initially has a radius of 7 cm. On cooling, the sphere contracts so that its radius decreases by 0.3 cm, so its new radius is 6.7 cm. Use differentials to estimate the volume of the sphere at this new radius. Hint: here dr = -0.3 cm.

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An open-top box is to be made from a 18-inch by 36-inch piece of plastic by removing a square from each corner of the plastic and folding up the flaps on each side. What is the maximum possible volume, in cubic inches, of the box? You may enter an exact answer or round to the nearest hundredth. Provide your answer below: Maximum volume - 3 in FEEDBACK

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