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IM 8.5.15 Practice: The Volume of a Cone

A cylinder and cone have the same height and radius. The height of each is 5 cm, and the radius is 2 cm. Calculate the volume of the cylinder and the cone.

The volume of this cone is 36π cubic units.

What is the volume of a cylinder that has the same base area and the same height?

A cylinder has a diameter of 6 cm and a volume of 36π cubic centimeters. Sketch the cylinder below. Label the height and radius.

What are the values of the height and radius in centimeters?

Lin wants to get some custom T-shirts printed for her basketball team. Shirts cost $10 each if you order 10 or fewer shirts and $9 each if you order 11 or more shirts. Make a graph that shows the total cost of buying shirts, for 0 through 15 shirts

There are 10 people on the team. Do they save money if they buy an extra shirt? Explain your reasoning.

What is the slope of the graph between 0 and 10? What does it mean in the story?

What is the slope of the graph between 11 and 15? What does it mean in the story?

In the following graphs, the horizontal axis represents time and the vertical axis represents distance from school. Write a possible story for the graph.