Cylinder Calculator
Calculate cylinder volume, lateral surface area, and total surface area from radius and height. Includes hollow cylinder, liquid capacity, and weight from density.
cm
cm
Volume
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Lateral Surface Area —
Total Surface Area —
Extended More scenarios, charts & detailed breakdown ▾
cm
cm
Volume (cm³)
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Lateral SA (cm²) —
Total SA (cm²) —
Professional Full parameters & maximum detail ▾
Hollow Cylinder
Hollow Cylinder Volume (cm³) —
Hollow Cylinder TSA (cm²) —
Cross-Section Area (cm²) —
Weight & Capacity
Weight (g) —
Liquid Capacity (L) —
Liquid Capacity (gal) —
How to Use This Calculator
- Enter Radius and Height to calculate volume and surface areas instantly.
- Use the From Diameter tab if you know diameter instead of radius.
- Use the From Volume tab to find a missing dimension given volume.
- The Professional tab adds hollow cylinder, liquid capacity in gallons/liters, and weight from density.
Formula
Volume: V = πr²h | Lateral SA: LSA = 2πrh | Total SA: TSA = 2πr(r + h)
Example
r=5 cm, h=10 cm → V = π×25×10 ≈ 785.40 cm³, TSA = 2π×5×15 ≈ 471.24 cm².
Frequently Asked Questions
- Volume = π × r² × h, where r is the radius and h is the height. For a cylinder with r=5 cm and h=10 cm: V = π × 25 × 10 ≈ 785.4 cm³.
- Lateral surface area (LSA) is just the curved side: LSA = 2πrh. Total surface area (TSA) includes both circular caps: TSA = 2πrh + 2πr² = 2πr(h + r).
- Subtract the inner cylinder volume from the outer: V = π × h × (R² − r²), where R is outer radius and r is inner radius.
- Divide diameter by 2 to get radius, then use V = πr²h. For a 10 cm diameter, 20 cm tall cylinder: r=5, V = π×25×20 ≈ 1570.8 cm³.
- 1 liter = 0.264172 gallons. First compute volume in cm³, then divide by 1000 for liters, then multiply by 0.264172. Or 1 cm³ = 0.000264172 gallons.