FINAL TOOLBOX
01 // Chart Studio02 // Visual Solvers03 // Calculators04 // Formulas05 // Unicode & Symbols
03 // Bidirectional STEM Calculators // MATHV = π × r² × h

Cylinder Volume, Radius & Height Calculator

The volume V of a right circular cylinder or cylindrical tank equals the circular base area πr² multiplied by axial height or length h: V = π × r² × h.

V = π × r² × h
Pick which value you want to calculate (or type into any field):Solving for: V — Cylinder Volume
Calculated

Internal capacity or displaced volume

0.001100,000,000.00

Half of the internal bore diameter

0.011,000.00

Axial length or stroke height

0.0110,000.00
Calculated Result · Cylinder Volume (V)
785.3982m³
Converted units:

Step-by-Step Calculation

01Canonical Law: V = π × r² × h
02Given Inputs (Base Units): r = 5 m, h = 10 m
03Solve for V (Cylinder Volume): V = 785.4 m³

The volume V of a right circular cylinder or cylindrical tank equals the circular base area πr² multiplied by axial height or length h: V = π × r² × h.

Real-World Reference Values

Total Surface AreaA_total = 2πr(r + h)

Lateral wall 2πrh plus two circular end caps 2πr²

Optimal Can Proportionsh = 2r (Height = Diameter)

Minimizes sheet-metal surface area for a fixed volume V

Engine Bore & Stroke DisplacementV_swept = π × (Bore/2)² × Stroke

Switch unit on V to cm³ (cc) or Liters (L)

20-Row Comparison Table

Cylinder Volume (V) · Cylinder Radius (r)

Cylinder Volume, Radius & Height Calculator — Cylinder Radius → Cylinder Volume
#Cylinder Radius (m)Cylinder Volume (m³)Δ %
010.01 m0.003142 m³-100.00%
025 mCurrent785.3982 m³0.00%
0315.0088 m7,076.88 m³+801.06%
0422.5082 m15,915.91 m³+1926.48%
0530.0076 m28,288.67 m³+3501.83%
0637.507 m44,195.16 m³+5527.10%
0745.0064 m63,635.37 m³+8002.31%
0852.5058 m86,609.31 m³+10927.44%
0960.0052 m113,116.98 m³+14302.50%
1067.5046 m143,158.38 m³+18127.49%
1175.004 m176,733.50 m³+22402.41%
1282.5034 m213,842.35 m³+27127.25%
1390.0028 m254,484.93 m³+32302.03%
1497.5022 m298,661.23 m³+37926.73%
15105.0016 m346,371.27 m³+44001.36%
16112.501 m397,615.03 m³+50525.92%
17120.0004 m452,392.52 m³+57500.40%
18127.4998 m510,703.73 m³+64924.82%
19134.9992 m572,548.68 m³+72799.16%
20142.4986 m637,927.35 m³+81123.43%
Was this tool helpful?

Frequently Asked Questions

How do I find the liquid depth h in a vertical cylindrical tank for a target volume?+

Click SOLVE FOR on h (Cylinder Height), enter your tank radius r, and set V to the desired volume (in m³ or Liters).

Which increases cylinder volume faster: increasing radius r or height h?+

Radius r is squared (r²) while height h is linear, so a 20% increase in radius boosts volume by 44%, whereas a 20% increase in height boosts volume by 20%.

Can I use this for engine displacement in cubic centimeters (cm³)?+

Yes. Set r and h in cm (or mm) using the inline unit selectors, and switch V to cm³ or Liters.