Question

the diameter of the container is 13 centimeters and it’s height is 24 centimeters. Determine in terms of pie , the volume of the cylinder in cubic centimeters

Answer 1

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

Volume = π * r² * h

Where:

- π (pi) is a constant approximately equal to 3.14159

- r is the radius of the cylinder

- h is the height of the cylinder

In your case, the diameter of the container is 13 centimeters, which means the radius (r) is half of that, so:

r = 13 cm / 2 = 6.5 cm

The height (h) is given as 24 centimeters.

Now, you can plug these values into the formula:

Volume = π * (6.5 cm)² * 24 cm

Volume = π * 42.25 cm² * 24 cm

Now, calculate the volume:

Volume = π * 1014 cm³

So, the volume of the cylinder is 1014π cubic centimeters.