Calculate the volume and total surface area of a right circular cylinder.
Right triangles, areas, slopes, distances and common coordinate-geometry formulas.
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A cylinder with radius 3 and height 10 has volume 90π, about 282.74 cubic units.
Calculate the volume and total surface area of a right circular cylinder. The result is intended for quick estimates, checking arithmetic and comparing scenarios. When a result affects a contract, tax filing, medical decision, building-code requirement or other high-stakes situation, verify the result with the appropriate professional or authoritative source.
A cylinder with radius 3 inches and height 10 inches has volume π × 3² × 10 = 90π ≈ 282.74 cubic inches. The total surface area is 2πr² + 2πrh = 78π ≈ 245.04 square inches.
Practical distinction: volume measures what fits inside; surface area measures material covering the curved wall and both circular ends. This assumes a closed right circular cylinder, not an open-top container.
Calculate the volume and total surface area of a right circular cylinder.
Volume = πr²h. Total surface area = 2πr² + 2πrh.
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