5 - Mathematical Knowledge What is the volume of a right circular cylinder that has a diameter of 6 meters and a height of 10 meters? A \( 60 \pi \) B \( 90 \pi \) C \( 120 \pi \) D \( 360 \pi \)
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To find the volume of a right circular cylinder, you can use the formula: \( V = \pi r^2 h \). Since the diameter is 6 meters, the radius \( r \) is half of that, which is 3 meters. Plugging in the values: \( V = \pi (3)^2 (10) = 90\pi \). So, the answer is B \( 90 \pi \). When working with cylinders, it’s essential to remember the relationship between diameter and radius. A common mistake is using the diameter directly in volume calculations, which can lead to incorrect results. Always double-check to ensure you’re using the radius!