A cylindrical tank with radius 7 m is being filled with water at a rate of 2 m3/min. How fast is the height of the water increasing (in m/min)?
Question
Solution 1
The volume V of a cylinder is given by the formula V = πr²h, where r is the radius and h is the height.
Given that the radius r = 7 m and the volume V is increasing at a rate of 2 m³/min, we want to find dh/dt, the rate at which the height h is increasing.
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