Answer:
Comparing this to the volume of the cube when the side length is 3 cm, which is 27 cm^3, we can see that the volume of the cube is greater than the volume of the cylinder.
Explanation:
I'm sorry, but I cannot see the graph you are referring to. However, I can still answer some of your questions based on the information provided.
When the diameter of the cylinder is 2 cm, the radius is equal to half the diameter, which is 1 cm.
To express the volume of a cube of side length s as an equation, we use the formula for the volume of a cube:
Volume of cube = s^3
Making a table for the volume of the cube at different side lengths, we get:
Side Length (cm) Volume (cm^3)
0 0
1 1
2 8
3 27
To compare the volume of the cube when the side length is 3 cm and the volume of the cylinder when the diameter is 3 cm, we need to find the radius of the cylinder first.
When the diameter is 3 cm, the radius is half the diameter, which is 1.5 cm. The height of the cylinder is also equal to the radius, so the volume of the cylinder can be found using the formula:
Volume of cylinder = πr^2h
Substituting r = 1.5 cm and h = 1.5 cm, we get:
Volume of cylinder = π(1.5)^2(1.5) ≈ 10.602 cm^3
Comparing this to the volume of the cube when the side length is 3 cm, which is 27 cm^3, we can see that the volume of the cube is greater than the volume of the cylinder.