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4. 5. A drug is to be sold in gelatin capsules, which have an approximately cylindrical shape. To hold the required dosage, the capsules

 


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4. 5. A drug is to be sold in gelatin capsules, which have an approximately cylindrical shape. To hold the required dosage, the capsules must have a volume of 120 cubic millimeters. What are the dimensions of a suitable capsule which uses the minimum amount of gelatin? Give your answers to the nearest hundredth of a millimeter. [2 points] A cube's edges are growing at a rate of one inch per minute. How fast is its volume increasing when the cube has 5-inch edges? [2 points]

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