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Rzqust [24]
3 years ago
11

The volume of a cylinder is 2,200π cubic inches. The diameter of the circular base is 10 inches. what is the height of the cylin

der?
- 22 inches
- 88 inches
- 220 inches
- 440 inches
Mathematics
2 answers:
umka21 [38]3 years ago
8 0
If the diameter of the cylinder's base is 10, then the radius is half that, or 5.

\bf \textit{volume of a cylinder}\\\\
V=\pi r^2 h\qquad 
\begin{cases}
r=radius\\
h=height\\
------\\
r=5\\
V=2200\pi 
\end{cases}\implies 2200\pi =\pi (5)^2h
\\\\\\
\cfrac{2200\pi }{\pi (5)^2}=h\implies \cfrac{2200}{25}=h\implies  88=h
OlgaM077 [116]3 years ago
3 0

Answer:

<u><em>THE ANSWER IS 88</em></u>

Step-by-step explanation:

I JUST TOOK THE TEST.

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5 0
3 years ago
The area of a square is 49 square meters. How long is each side?
Artemon [7]

A square has 4 equal sides, which means when you need to work out the area, you're doing length × width, but the length and width are exactly the same, because it's a square (look at the picture if you don't understand this).

That means you just have to pick any side (let's call this side x), and multiply it by another side of the square. Now, because all of the sides are equal, you're doing x multiplied by x, which is the same as x².

Therefore, if the area is equal to x², and in this question, it's also equal to 49 (as stated in the question), we can equate them to each other:

x² = 49

Now to get the x by itself, we need to do the opposite of squaring, which is square rooting. Therefore, we square root both sides of the equation:

√x² = √49

The √ and the ² cancel out, so you're just left with x:

x = √49

The square root of 49 is just 7, so we can replace √49 with 7, and we get:

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Now remember, earlier, I called x the value of one side. Therefore, by remembering that, you know that the value of one side is equal to 7. And because all the sides are the same as each other, each side is equal to 7 metres.

Therefore, your final answer is 7 metres :)

3 0
3 years ago
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