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EastWind [94]
2 years ago
7

Hey! can someone give me a step-by-step explanation on how to solve this problem correctly? I know for a fact that I did it inco

rrectly.

Mathematics
2 answers:
kozerog [31]2 years ago
7 0

Answer:

B. 1:18

Explanation Down Below

Step-by-step explanation:

Hello!

First, let's find the volume of each cylinder by plugging in the given values.

Volume of a Cylinder: V = \pi r^2h

<h3>Cylinder A</h3>

Since the variables are the same as given in the formula, we can just use the formula as the volume.

\implies{\boxed{{V = \pi r^2h}}

<h3>Cylinder B</h3>

We have to plug in 3r for the radius, and 2h for the height.

  • V = \pi r^2 h
  • V = \pi (3r)^2(2h)
  • V = \pi(9r^2)(2h)
  • V = 18\pi r^2h

\implies \boxed{ V = 18\pi r^2h}

<h3>Ratio</h3>

We can see that the Volume of Cylinder B is just 18 times the Volume of Cylinder A, but we can find the same ratio using equations.

  • \text{Ratio} = A:B
  • \text{Ratio} = \pi r^2h: 18\pi r^2h
  • \text{Ratio} = \frac{\pi r^2h}{18\pi r^2h}
  • \text{Ratio} = \frac{\not{\pi}\not {r^2}\not{h}}{18\not{\pi}\not{r^2}\not{h}}
  • \text{Ratio} = \frac1{18}
  • \text{Ratio} =1:18

The answer is Option B. 1:18.

Neko [114]2 years ago
7 0
Perhaps the 3 from the radius was squared to 9, and then multiplied by the 2 from the height to get 18 in the “1:18”
This is just a guess in case no one else answers your question you can try this
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