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Bas_tet [7]
2 years ago
15

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 increa

sing
SAT
1 answer:
Marizza181 [45]2 years ago
4 0

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

<h3>How to calculate the volume of a cylinder?</h3>

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

#SPJ1

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