4. A cylindrical tank with a radius of 6 meters is filling with fluid at a rate of 108? m³/sec. How fast is the height of the fluid increasing? Recall the equation for volume of a cylinder: V = ?r²h Hint: the radius is a constant here, so treat it as one when differentiating.
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Here, the radius r is constant (6 meters), so we can simplify this to V = π(6)²h = 36πh. Show more…
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