Answer:
11.9 inches³ (the last option)
Step-by-step explanation:
the formula for the volume of a cylinder is π × radius² × height. the question has already provided us with the height of the cylinder, which is 4.5 inches. however, it does not give us the radius of the circle. thankfully, we have the diameter, so all we have to do is divide it by 2 to find the radius:
3.25 ÷ 2 = 1.625 inches
now, we can substitute these values into the formula:
π × radius² × height
= π × 1.625² × 4.5
= 11.8828125π
= 11.9 inches³ (rounded to 3 s.f.)
i hope this helps! :D