Need help please h ftlal1-1A cylindrical barrel with a diameter of 2 feet contains collected rainwater, as shown in the figure above. The water drains out through a valve (notshown) at the bottom of the barrel. The rate of change of the height h of the water in the barrel with respect to time t is modeled by10where h is measured in feet and t is measured in seconds. (The volume V of a cylinder with radius r and height h is V = Tr*h.)a) Find the rate of change of the volume of water in the barrel with respect to time when the height of the water is 4 feet. Indicate units of measure.I0/10000 Word Limit!!! Show all of your work, even though the question may not explicitly remind you to do so. Clearly label any functions, graphs, tables, or other objects thatyou use. Justifications require that you give mathematical reasons, and that you verify the needed conditions under which relevant theorems, properties,definitions, or tests are applied. Your work will be scored on the correctness and completeness of your methods as well as your answers. Answerswithout supporting work will usually not receive credit.Unless otherwise specified, answers (numeric or algebralc) need not be simplified. If your answer is given as a decimal approximation, it should becorrect to three places after the decimal point.Unless otherwise specified, the domain of a function f is assumed to be the set of all real numbers for which f (r) is a real number.2 ft

Name: Need help please h ftlal1-1A cylindrical barrel with a diameter of 2 f
Uploaded: 2024-03-20T07:07:37.000Z
Channel: Bartleby
Description: Need help please h ftlal1-1A cylindrical barrel with a diameter of 2 feet contains collected rainwater, as shown in the figure above. The water drains out through a valve (notshown) at the bottom of the barrel. The rate of change of the height h of t