Desiree has a scientific question that she wants to investigate. She has developed a hypothesis and method for her experiment. W
2 answers:
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Answer:
dV/dt = 9 cubic inches per second
Explanation:
Let the height of the cylinder is h
Diameter of cylinder = height of the cylinder = h
Radius of cylinder, r = h/2
dh/dt = 3 inches /s
Volume of cylinder is given by
put r = h/2 so,
Differentiate both sides with respect to t.
Substitute the values, h = 2 inches, dh/dt = 3 inches / s
dV/dt = 9 cubic inches per second
Thus, the volume of cylinder increases by the rate of 9 cubic inches per second.