The volume V of a cylinder with radius r is given by the formula V=πr2h.[list=1][*]The volume of this cylinder with radius 5 units is 50π cubic units. This statement is true:50π=52πh[img]https://cdn.openupresources.org/uploads/pictures/8/8.9.A3.Image.02.png[/img]What does the height of this cylinder have to be? Explain how you know.[/*][*]The volume of this cylinder with height 4 units is 36π cubic units. This statement is true:36π=r2π4[img]https://cdn.openupresources.org/uploads/pictures/8/8.9.A3.Image.03.png[/img]What does the radius of this cylinder have to be? Explain how you know.[/*][/list]

"Are you ready for more?"Suppose a cylinder has a volume of 36π cubic inches, but it is not the same cylinder as the one you found earlier in this activity.[list=1][*]What are some possibilities for the dimensions of the cylinder?[/*][*]How many different cylinders can you find that have a volume of 36πcubic inches?[/*][/list]

Student-Facing Task Statement[img]https://cdn.openupresources.org/uploads/pictures/8/8.9.A3.Image.06.png[/img]This cylinder has a volume of 12π cubic inches and a diameter of 4 inches. Find the cylinder's radius and height.