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:
- Calculate \( r^2 \):
\[ r^2 = (4.15)^2 = 17.2225 \]
- 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!