Answer :
Final answer:
The volume of the aluminum cylinder is calculated using the formula for the volume of a cylinder, π r^2 h, with the given dimensions. The resulting volume is approximately 39.27 cm^3, which rounds to 39.3 cm^3.
Explanation:
To calculate the volume of an aluminum cylinder with a diameter of 2.50 cm and length of 8.00 cm, we use the formula for the volume of a cylinder: V = π r^2 h
where V is volume, r is radius (half the diameter), and h is height (or length). First, we convert the diameter to radius by dividing by 2:
r = 2.50 cm / 2 = 1.25 cm
Next, we plug the values into the formula:
V = π (1.25 cm)^2 (8.00 cm)
Now, we calculate:
V = 3.1416 (1.5625 cm^2) (8.00 cm) = 39.27 cm^3
The volume of the aluminum cylinder is approximately 39.27 cm^3, which rounds to 39.3 cm^3, so the correct answer is B. 39.3.
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