"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]
[list=1][*]The volume for the cylinder is 36π=π⋅r2⋅h, which implies 36=h⋅r2. Answers vary. Sample responses: the cylinder could have r=3 and h=4 or r=9 and h=49.[/*][*]There are an infinite number of cylinders with a volume of 36π cubic inches. No matter what value for r is chosen, a value for h can be calculated using the formula 36π=h⋅r2⋅π.[/*][/list]