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:
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.
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The statement which describes what the Days' sales uncollected ratio assesses how to measure how quickly a company can convert its accounts receivables into cash.
<h3>
What is Sales uncollected ratio?</h3>
This helps measure the days the company will receive cash and is an important ratio for the company's investors and creditors.
This measures how fast a company will receive cash payment for its goods and services.
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The magnitude of the force of the elevator floor on the person is; 807.13 N
<h3>What is the Magnitude of force? </h3>
We are given;
Weight; W = 0.7 KN
Acceleration; a = 1.5 m/s²
There are only two forces acting on the person: which are his weight W (downward) and the normal force N of the floor against the body (upward). Thus the equilibrium equation here is;
N - W = F
N - W = ma
Here, m is the mass of body, and its value is calculated as;
W = mg
0.7 = 9.81m
m = 0.7/9.81
m = 71.42 kg
Thus;
N - 0.7 = 71.42 * 1.5
N = 0.7 + (71.42 * 1.5)
N = 807.13 N
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