Final answer:
Yes, the basketball will fit into the cylindrical garbage can.
Step-by-step explanation:
In order to determine whether the basketball will fit into the cylindrical garbage can, we need to compare the circumference of the basketball to the circumference of the garbage can. The circumference of the garbage can can be calculated using the formula C = πd, where C is the circumference and d is the diameter. Given that the diameter of the garbage can is 11 inches, we can calculate its circumference as C = π(11) = 34.56 inches.
Since the circumference of the basketball is 33 inches, which is less than the circumference of the garbage can, the basketball will fit inside the garbage can. Therefore, the answer is A. Yes.