Question

A cylindrical tank with radius 5 m is being filled with water at a rate of 3 m3 ymin. How fast is the height of the water increasing

Answer 1

The rate at which the height of the water in this cylindrical tank is increasing is 26.18 m/mn.

How to calculate the volume of a cylinder?

Mathematically, the volume of a cylindrical tank can be calculated by using this formula:

V = πr²h

Where:

• h is the height.

• r is the radius.

Differentiating with respect to h, we have:

dV/dt = πr²(dh/dt)

3 = 3.142 × 5² × dh/dt

3 = 78.55dh/dt

dh/dt = 78.55/3

dh/dt = 26.18 m/mn.

Read more on cylinder height here: brainly.com/question/24244317

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