Question

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5cm
8.3cm
Question
What is the volume of the cylinder? Use 3.14 for π
.



(2 points)
Responses

130.31 cubic meters
130.31 cubic meters

260.62 cubic meters
260.62 cubic meters

651.55 cubic meters
651.55 cubic meters

2,606.2 cubic meters
2,606.2 cubic meters
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Answer 1

To calculate the volume of a cylinder, you can use the formula:

\[ V = \pi r^2 h \]

where \( V \) is the volume, \( r \) is the radius, \( h \) is the height, and \( \pi \) is approximately 3.14.

Given the dimensions provided:
- The height \( h = 5 \) cm
- The diameter is \( 8.3 \) cm, which means the radius \( r \) is half of that:

\[ r = \frac{8.3}{2} = 4.15 \text{ cm} \]

Now plug these values into the volume formula:

1. Calculate \( r^2 \):

\[ r^2 = (4.15)^2 = 17.2225 \]

2. Now calculate the volume:

\[ V = 3.14 \times 17.2225 \times 5 \]

\[
V \approx 3.14 \times 17.2225 \times 5 \approx 270.59 \text{ cm}^3
\]

However, your provided options are in cubic meters. To convert cubic centimeters to cubic meters, remember that:

1 m³ = 1,000,000 cm³

So dividing by 1,000,000:

\[ V \approx \frac{270.59}{1,000,000} \approx 0.00027059 \text{ m}^3 \]

This doesn’t match any of your provided answer options. Can you confirm the dimensions or the units? It’s possible there might have been a misunderstanding with the unit conversions, or the values might be different than what you provided. If you need to include specific heights or measurements, please clarify!