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Kobotan [32]
2 years ago
5

A cylinder has a height of 6 meters and a radius of 3 meters. What is its volume? Use ​ ≈ 3.14 and round your answer to the near

est hundredth.
Mathematics
1 answer:
bija089 [108]2 years ago
7 0

Answer:

169.56 m³

Step-by-step explanation:

» <u>Concepts</u>

The volume of a cylinder is how much space there is inside the cylinder. The formula to find the volume is πr²h, where r = radius and h = height. Once you get the volume, you have to add <unit>³.

» <u>Application</u>

We are given the radius as three meters and the height as six meters; we also have to use π as 3.14. Now, we just have to plug in these values into the aforementioned formula.

» <u>Solution</u>

  • <u></u>3.14*3^3*6
  • 3.14*9*6
  • 28.26*6
  • 169.56
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natulia [17]

(i) Angle AOC would equal 48°, as it is vertically opposite to angle DOB and they are therefore equal.


(ii) Angle DOE would equal 42°. We can see this because angles on a straight line add up to 180°, and 90 + 48 = 138, so we can do 180 - 138 = 42°.


I hope this helps!

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3 years ago
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2 years ago
Rearrange the formula A = <br> Θr2<br> 2<br> for Θ.
Lina20 [59]

Answer:

\theta=\frac{2A}{r^2}

Step-by-step explanation:

Given : The formula A=\frac{\theta r^2}{2}

We have to rearrange the given formula for \theta

Consider the given formula A=\frac{\theta r^2}{2}

Multiply both side by 2, we have,

2A={\theta r^2

Divide both side by r^2 , we have,

\frac{2A}{r^2}= \frac{\theta r^2}{r^2}

Simplify, we get,

\frac{2A}{r^2}=\theta

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3 years ago
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2 years ago
Find the values of a and b such that
Varvara68 [4.7K]

Answer:

a = 1.5

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Step-by-step explanation:

First, we need to solve (x+a)^2 and replace the result in the initial equation as:

x^2+3x+4=(x+a)^2+b\\x^2+3x+4=x^2+2ax+a^2+b

Then, this equality apply only if the coefficient of x is equal in both sides and the constant is equal in both sides.

It means that we have two equations:

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3 years ago
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