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Len [333]
4 years ago
11

A right cylindrical tank with a total volume of 5,000 cubic units has an interior diameter of 20 units. the volume gauge indicat

es that the tank is 60% full. to the nearest 5 units, what is the interior height of the fluid in the tank?
Mathematics
2 answers:
vovikov84 [41]4 years ago
5 0
Total volume of the tank is 5000 cubic units
Volume of liquid=60%*5000=3000 cubic units
the height of the fluid will be found as follows
V=πr²h
where:
r=20/2=10 units
hence:plugging in the values and solving for h we get:
3000=π×(10²)×h
thus
h=3000/(100π)
h=9.5292966
h=9.5293 units
Llana [10]4 years ago
4 0

   Hi there hopes this helps

Total volume of the tank is 5000 cubic units

Volume of liquid=60%*5000=3000 cubic units

the height of the fluid will be found as follows

V=πr²h

where:

r=20/2=10 units

hence:plugging in the values and solving for h we get:

3000=π×(10²)×h

thus

h=3000/(100π)

h=9.5292966

h=9.5293 unit



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8 0
3 years ago
8.52 The heights of 2-year-old children are normally distributed with a mean of 32 inches and a standard deviation of 1.5 inches
sweet [91]

Answer:

Heights of 29.5 and below could be a problem.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

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The heights of 2-year-old children are normally distributed with a mean of 32 inches and a standard deviation of 1.5 inches.

This means that \mu = 32, \sigma = 1.5

There may be a problem when a child is in the top or bottom 5% of heights. Determine the heights of 2-year-old children that could be a problem.

Heights at the 5th percentile and below. The 5th percentile is X when Z has a p-value of 0.05, so X when Z = -1.645. Thus

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