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3 years ago

I need help with this question

Mathematics

2 answers:

Contact [7]3 years ago

8 0

Answer:

24.8 inches

Step-by-step explanation:

Volume of a cylinder=πr²h

Where volume=774 and h=0.4

Now

774=(3.14)r²(0.4)

774=1.2566r²

Divide both sides by 1.2566

r²=615.94

Taking sq root on both sides

r=24.8 inches

____ [38]3 years ago

3 0

Answer:

Step-by-step explanation:

If the volume is given as 774, then we will plug that into the volume equation along with the other stuff we know and solve for r:

If V = πr²h, then

774 = (3.14)(r²)(10.4) and

774 = 32.656r² so, dividing by 32.656 gives you

23.70161685 = r², and taking the square root of that gives you that

r = 4.9 inches

Let's solve part b by reducing the height to 8 in, just because...

774 = (3.14)(r²)(8) and

774 = 25.12r² and dividing both sides by 25.12 gives you that

30.81210191 = r² . Taking the square root of both sides gives you that

r = 5.6 inches.

It appears that if you reduce the height, the radius increases to make up for the difference. Likewise, if you increase the height, the radius decreases to make up for the difference.

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Revising the area of a circle formula

We already know that the area of a circle is expressed as $\pi r^{2}$ .

The "r" variable is known as the radius.

<h2><u>Solving each problem given:</u></h2><h3>Solving Problem 4:</h3>

We are given the radius of circle, which is 7 in. Let us substitute the radius in the formula. Once substituted, we can simplify the expression obtained to determine the area of the circle shown in the picture.

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<h3>Solving Problem 5:</h3>

In this problem, we are given the diameter to be 24 kilometers. Since the radius of the circle is half the diameter, we can tell that the radius of the circle is 24/2 kilometers, which is 12 kilometers.

$\implies \pi (12)^{2}$

$\implies \huge\text{(}\dfrac{22}{7}\huge\text{)} (12)^{2}$

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<h3>Solving Problem 6:</h3>

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$\implies \pi (3.5)^{2}$

$\implies \huge\text{(}\dfrac{22}{7}\huge\text{)} (3.5)^{2}$

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$\implies \huge\text{(}\dfrac{22}{2}\huge\text{)} (3.5) = (11) (3.5)$

$\implies 38.5 \ \text{m}^{2}$

Note: <em>The radius given in this problem was not clearly stated. If the radius I stated here, is incorrect, please notify me in the comments. Thanks!</em>

Learn more about area of circles: brainly.com/question/12414551

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