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Nastasia [14]
2 years ago
7

15. Ordered: gr. viiss Label: 30% solution How many ml do you use?

Mathematics
1 answer:
Shkiper50 [21]2 years ago
5 0

Answer:

k

Step-by-step explanation:k

k

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A water tank in the shape of an inverted circular cone has a base radius of 3 m and height of 7 m . If water is being pumped int
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The water level increases by 0.608 meters per minute when the water is 3.5 m deep

<h3>How to determine the rate?</h3>

The given parameters are:

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The relationship between the radius and height is:

r/h = 3/7

Make r the subject

r = 3h/7

The volume of a cone is;

V = \frac 13\pi r^2h

This gives

V = \frac 13\pi (\frac{3h}{7})^2h

Expand

V =  \frac{3h^3}{49}\pi

Differentiate

V' = \frac{9h^2}{49}\pi h'

Make h' the subject

h' = \frac{49}{9\pi h^2}V'

When the water level is 3.5.

We have:

h' = \frac{49}{9\pi * 3.5^2}V'

Also, we have:

V' = 4.3

So, the equation becomes

h' = \frac{49}{9\pi * 3.5^2} * 4.3

Evaluate the products

h' = \frac{210.7}{346.36}

Evaluate the quotient

h' = 0.608

Hence, the water level increases by 0.608 meters per minute

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