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3 years ago

The storage shed shape of a half-cylinder of radius r and length l.

Mathematics

2 answers:

ira [324]3 years ago

5 0

The first you should have to do is calculate the volume so start by drawing a picture then just go on the math solutions website

Sedbober [7]3 years ago

5 0

I'll simply attach the photo of the answer. It is quite long.

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A cylindrical tank with radius 3 m is being filled with water at a rate of 4 m3/min. How fast is the height of the water increas

Fittoniya [83]

Height of the water increasing is at rate of $#(dh)/(dt)=3/(25 pi)m/(min)#$

<h3>How to solve?</h3>

With related rates, we need a function to relate the 2 variables, in this case it is clearly volume and height. The formula is:

$#V=pi r^2 h#$

There is radius in the formula, but in this problem, radius is constant so it is not a variable. We can substitute the value in:

$#V=pi (5m)^2 h#$

Since the rate in this problem is time related, we need to implicitly differentiate wrt (with respect to) time:

$#(dV)/(dt)=(25 m^2) pi (dh)/(dt)#$

In the problem, we are given $#3(m^3)/min# which is #(dV)/(dt)#.$

So we need to substitute this in:

$#(dh)/(dt)=(3m^3)/(min (25m^2) pi)=3/(25 pi)m/(min)#$

Hence, Height of the water increasing is at rate of $#(dh)/(dt)=3/(25 pi)m/(min)#$

<h3>Formula used: </h3>

$#V=pi r^2 h#$

To Learn more visit:

brainly.com/question/4313883

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2 years ago

Read 2 more answers

To make a cake, you need 2 parts flour, 2 parts sugar and 1 part eggs.

Allisa [31]

Answer:

2:1???

Step-by-step explanation:

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1 year ago

The radius of a circle is 1 centimeter. What is the circle's circumference?

igomit [66]

Answer:

6.28 cm

Step-by-step explanation:

The formula for the circumference of a circle with radius r is C = 2*pi*r.

If we let pi = 3.14 and r = 1 cm, then the circumference of this circle is

C = 2(3.14)(1 cm) = 6.28 cm

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2 years ago

In order to circumscribe a circle on a triangle, which line must you construct?

SIZIF [17.4K]

<span>D) perpendicular bisector <em>I believe.
</em></span>

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3 years ago

What is the common factor of the numerator and denominator in the expression <img src="https://tex.z-dn.net/?f=%5Cfrac%7B%282x%2

mixer [17]

Answer:

Step-by-step explanation:

(x - 4)

What you are being asked to do is find the exact same binomial in the top as is in the bottom.

But there's a small catch. You must stipulate that x cannot equal 4. If it does, then you will get 0/0 which is undefined. You can't have that happening -- not at this level.

Any other value for x is fine.

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2 years ago