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- General Directi0n: F0r activities that inv0lve s0luti0n to problems, perform the steps in conducting hypothesis testing such as stating of problems and hypothesis, and so on.The Deepwater Horizon oil spill in the Gulf of Mexico on April 20, 2010 was "an environmental disaster of unprecedented proportions" and was a "devastating blow to the resource-dependent economy of the region" [1]. According to the Washington Post, it is estimated that 9857 9857 cubic meters of oil per day spilled into the Gulf of Mexico on August 2, 2010 Assume that an average of 9857 m^3/day of oil spilled into the Gulf of Mexico everyday and that it formed a hemispherical dome of radius r on the ocean floor. D) find the rate of change of the radius with respect to time when the volume of the oil spill is 50,000m^3. E) Since only the oil that is in contact with seawater can mix with seawater, it is important to know how much of the surface area of the oil spill is in contact with seawater. Find the rate of change of the hemisphere's surface area with respect to time when the volume of the oil spill is 50,000 m3. Include units in your answer. You should assume that only the top…The Deepwater Horizon oil spill in the Gulf of Mexico on April 20, 2010 was "an environmental disaster of unprecedented proportions" and was a "devastating blow to the resource-dependent economy of the region" [1]. According to the Washington Post, it is estimated that 9857 9857 cubic meters of oil per day spilled into the Gulf of Mexico on August 2, 2010 Assume that an average of 9857 m^3/day of oil spilled into the Gulf of Mexico everyday and that it formed a hemispherical dome of radius r on the ocean floor. A) find a formula for the volume of oil spilled in cubic meters, t days after the start of the oil spill. Include units in answer B) find the derivative of volume formula with respect to time. Include units in answer. C) when the volume of the oil spill is 50,000m^3, what is the radius of the hemisphere of oil? Include units in your answer. Give your answer accurate to 3 decimal places. D) find the rate of change of the radius with respect to time when the volume of…