Strategic oil supply. The U.S Strategic Petroleum Reserve (SPR) stores petroleum in large spherical caverns built into salt deposits along the Gulf of Mexico (Source, U.S. Department of Energy.) These caverns can be enlarged by filling the void with water, which dissolves the surrounding salt, and then pumping brine out Suppose a cavern has a radius of 400 ft, which engineers want to enlarge by 2 ft. Use a differential to estimate how much volume will be added to form the enlarged cavern (The formula for the volume of a sphere is
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