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The volume of a can that is 12 centimeters (cm) tall is approximated by the function v , where r is the radius of the can in cm. Chicken soup costs $0.01 per milliliter (mL) and since , we can say that chicken soup costs . The cost to fill a 12 cm tall can with chicken soup is given by C(v) = 0.01v, where v is the volume of the can in .
a. Find and interpret its meaning in the context of this problem.
b. Approximate to the nearest cent the cost to fill a 12 cm can with chicken soup if the can's radius is 5 cm.
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