A cylinder has radius 2 and height 5. What is its volume (in terms of π)?

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Multiple Choice

A cylinder has radius 2 and height 5. What is its volume (in terms of π)?

Explanation:
Volume of a cylinder comes from base area times height. The base is a circle, so its area is πr^2. With radius 2 and height 5, the volume is π × (2)^2 × 5 = π × 4 × 5 = 20π. So you get 20π cubic units. The other numbers don’t fit because they either miss the π from the circular base (a pure number like 20) or imply a different height or radius (for example, 10π would need r^2 h = 10, not matching the given dimensions; 40π would require a larger height).

Volume of a cylinder comes from base area times height. The base is a circle, so its area is πr^2. With radius 2 and height 5, the volume is π × (2)^2 × 5 = π × 4 × 5 = 20π. So you get 20π cubic units.

The other numbers don’t fit because they either miss the π from the circular base (a pure number like 20) or imply a different height or radius (for example, 10π would need r^2 h = 10, not matching the given dimensions; 40π would require a larger height).

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