Cylinder Calculator (Volume, Surface Area, Base)
Computes volume and total outer surface area of a standard cylinder from radius and height. Includes breakdown of lateral side area vs top and bottom caps.
PARAMETERS(3)
LOAD VERIFIED SCENARIO
ACTIVE COMPUTATION
Cylinder Volume
502.6548m³
Equivalent to 502,654.82 Liters
Total Surface Area
351.8584m²
Lateral Surface Area
251.3274m²
Top + Bottom Bases
100.531m²
STEP-BY-STEP MATHEMATICAL DERIVATION
1Base circular area A_base = π × r² = π × 4² = 50.2655 m²
2Volume V = A_base × h = 50.2655 × 10 = 502.6548 m³
3Lateral area A_lat = 2 × π × r × h = 2 × π × 4 × 10 = 251.3274 m²
4Total surface area = A_lat + 2 × A_base = 351.8584 m²
MATHEMATICAL FORMULA & GOVERNING PRINCIPLES
V = π * r² * h, A = 2πrh + 2πr²
Volume is the circular base area times the height. Total surface area is the sum of the curved lateral wall (2πrh) and both circular end caps (2πr²).
FREQUENTLY ASKED QUESTIONS (FAQ)
How do I convert cylinder volume to Liters?
1 cubic meter (m³) equals exactly 1,000 Liters. If measured in centimeters (cm³), 1,000 cm³ equals 1 Liter.
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