The above circle is the base of a cylinder 20cm with height 13.5 cm.
Work out the volume of the cylinder.
the area of the base = pi * r^2
You did not say if 20 cm was diameter or radius. If diameter then use D/2 = r
multiply area of the base by height to get volume in cm^3
V = pi*r^2*h = 3.14*10^2*13.5 = ___ cm^3.
To calculate the volume of a cylinder, you need to know the radius of the base and the height. In this case, the radius of the base is half the circumference of the circle.
To find the radius, you can use the formula:
radius = circumference / (2 * π)
Given that the circumference of the circle is 20 cm, we can calculate the radius as follows:
radius = 20 cm / (2 * 3.14) = 3.18 cm (rounded to two decimal places)
Now, we can use the formula for the volume of a cylinder:
Volume = π * radius^2 * height
In this case, the height of the cylinder is given as 13.5 cm and the radius is 3.18 cm (rounded to two decimal places):
Volume = 3.14 * (3.18 cm)^2 * 13.5 cm = 3.14 * 10.12 cm^2 * 13.5 cm = 424.81 cm^3 (rounded to two decimal places)
Therefore, the volume of the cylinder is approximately 424.81 cm^3.