Find the volume of a cylinder height us 6cm width across is 3cm height is 8 cm
In the scenario you've mentioned, it seems there might be a confusion or typo as two different measurements for height are provided (6 cm and 8 cm). Please clarify the height of the cylinder.
However, assuming you've intended to give the diameter as 6 cm (which is the width across), and the height as 8 cm, we can proceed with the calculation using the formula for the volume of a cylinder:
\[ V = \pi r^2 h \]
Where \( V \) is the volume, \( r \) is the radius of the base of the cylinder, and \( h \) is the height of the cylinder. The radius is half of the diameter, so if the diameter is 6 cm, the radius \( r \) would be 3 cm.
Now, we can plug the values into the formula:
\[ V = \pi (3 \text{ cm})^2 (8 \text{ cm}) \]
\[ V = \pi (9 \text{ cm}^2) (8 \text{ cm}) \]
\[ V = \pi (72 \text{ cm}^3) \]
\[ V = 72\pi \text{ cm}^3 \]
If we approximate \(\pi\) as 3.14159, then:
\[ V \approx 72 \times 3.14159 \text{ cm}^3 \]
\[ V \approx 226.19448 \text{ cm}^3 \]
So, the volume of the cylinder would be approximately 226.19448 cubic centimeters.