Thank you for visiting An aluminum cylinder has a diameter of 2 50 cm a length of 8 00 cm and a density of 2 70 g cm 3. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
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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