Question

circumference of the circular face of a cylinder is 44cm its height is 120cm find the volume of the cylinder​

Answer 1

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

`\[ \text{Volume} = \text{Base Area} * \text{Height} \]`

For a cylinder, the base is a circle, and the formula for the circumference of a circle is:

`\[ \text{Circumference} = 2 * \pi * \text{Radius} \]`

Given that the circumference of the circular face of the cylinder is 44 cm, we can find the radius first.

`\[ \text{Circumference} = 2 * \pi * \text{Radius} \]\[ 44 = 2 * \pi * \text{Radius} \]`

Now, let's solve for the radius:

`\[ \text{Radius} = (44)/(2 * \pi) = (22)/(\pi) \]`

The height of the cylinder is given as 120 cm.

Now, the formula for the volume of the cylinder is:

`\[ \text{Volume} = \pi * \text{Radius}^2 * \text{Height} \]`

Substitute the values:

`\[ \text{Volume} = \pi * \left((22)/(\pi)\right)^2 * 120 \]`

`\[ \text{Volume} = \pi * (4120 84)/(\pi^2) * \]`

`\[ \text{Volume} = (484 * 120)/(\pi) \]`

`\[ \text{Volume} = (58080)/(\pi) \approx 18466.91 \text{ cubic centimeters} \]`

`Therefore, the volume of the cylinder is approximately \( 18466.91 \) cubic centimeters.`