We are asked to find the volume of a wooden roller that is 1 meter long and 8 centimeters in diameter. To make it easier, let's first make sure the units are consistent. Since the diameter is given in centimeters, let’s convert the length of the roller from meters to centimeters.
1 meter is equal to 100 centimeters. So, the length of the roller is 100 centimeters.
Now, let's picture this wooden roller as a cylinder. A cylinder is like a soda can – it has a circular base and a top with a certain height. The volume of a cylinder is found using the formula:
Volume = π * radius² * height
We know the diameter is 8 centimeters, but the formula uses the radius. The radius is half the diameter, so:
Radius = Diameter / 2
= 8 cm / 2
= 4 cm
We also know the height of the cylinder, which is the length of the roller, is 100 centimeters. Now plug the values into the formula:
Volume = π * (4 cm)² * 100 cm
= π * 16 cm² * 100 cm
= π * 1600 cm³
≈ 5026.55 cm³
This means the volume of the wooden roller is approximately 5026.55 cubic centimeters (cm³). And that's your answer!