To find the volume of a cylinder, you can use the formula:
\[ V = \pi r^2 h \]
Where:
- \( V \) is the volume,
- \( r \) is the radius of the base,
- \( h \) is the height of the cylinder.
From your description, we have the following dimensions:
- The diameter of the top and bottom of the cylinder is 5 cm, which means the radius \( r \) is half of that:
\[ r = \frac{5 , \text{cm}}{2} = 2.5 , \text{cm} \]
- The height \( h \) of the cylinder is given as 8.3 cm.
Now, plugging these values into the volume formula with \( \pi = 3.14 \):
\[ V = 3.14 \times (2.5 , \text{cm})^2 \times 8.3 , \text{cm} \]
Calculating \( (2.5)^2 \):
\[ (2.5)^2 = 6.25 \]
Now substitute that back into the volume formula:
\[ V = 3.14 \times 6.25 \times 8.3 \]
Now calculate \( 3.14 \times 6.25 \):
\[ 3.14 \times 6.25 = 19.625 \]
Now continue with the multiplication:
\[ V = 19.625 \times 8.3 \approx 162.3 , \text{cubic cm} \]
As all options provided in the original question are in cubic meters, we should convert cubic centimeters to cubic meters:
1 cubic meter = \( 1,000,000 \) cubic centimeters.
So,
\[ 162.3 , \text{cubic cm} = \frac{162.3}{1,000,000} , \text{cubic meters} = 0.0001623 , \text{cubic meters} \]
However, note that none of the given responses align with this calculation, so please check the context of the units or values given. If the diameter were actually 5 meters instead of 5 cm, the calculation would need to be adjusted accordingly.