Find the volume of a cylinder height us 6cm width across is 3cm height is 8 cm

Answer 1

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.