To calculate the volume of a cylinder, you need to know two key measurements: the radius of the base and the height of the cylinder. The formula for the volume of a cylinder is:
V = πr²h
where V is the volume, r is the radius of the base, and h is the height of the cylinder.
First, we need to find the radius of the base. The radius is half of the diameter, so if the diameter is 20 centimeters, the radius r is:
r = diameter / 2
r = 20 cm / 2
r = 10 cm
Now that we have the radius, we can use the volume formula. Given that the height h of the cylinder is 2 centimeters, we can calculate the volume:
V = πr²h
V = π(10 cm)²(2 cm)
We know that π (pi) is approximately 3.14159, and squaring the radius (10 cm) gives us 100 cm². Multiplying this by the height gives:
V = π * (100 cm²) * (2 cm)
V = 3.14159 * 200 cm³
Now, compute the volume:
V ≈ 3.14159 * 200
V ≈ 628.318 cm³
To round this to the nearest tenth, we look at the hundredth place:
V ≈ 628.3 cm³
So the volume of the cylinder is approximately 628.3 cubic centimeters.
