We want to draw and label a cylinder that has a larger radius but less volume than the cylinder in the graph below. This means that, first, we need to find its volume.
We can calculate the volume of a cylinder using the following formula. Here r is the radius of the circular base, and h is the height of the cylinder.
V=Ï€ r^2h
We are going to use this formula to find the volume of the cylinder shown in the graph. Let's then substitute 8 cm for r and 16 cm for h in the formula. Then we will evaluate the expression.
The volume of the cylinder is about 3217 cm^3. Now we want to label a cylinder that has a larger radius. We also want it to to have less volume that the cylinder in the graph.
Let the radius be 10 cm. Since we want the volume of the cylinder to be less than the volume of the cylinder from the graph, we have to compensate by making the height smaller. Let's then choose 8cm as the height.
Now we can calculate the volume of the cylinder. This way we will know for sure that the radius and height we chose for the figure are correct.
