Volume Calculator

Volume Formula

Worked Example

A cylinder with radius 3 and height 10:

1. V = πr²h
2. = π × 3² × 10
3. = 282.7433388

Total surface area: 245.044227

Test-day tip

These volume formulas are on the SAT reference sheet. Scaling questions (“the radius is doubled”) are faster with k³ than recalculating.

More Geometry and Trigonometry Calculators

• Pythagorean Theorem Calculator

  a² + b² = c²

  c hypotenuse (opposite the right angle), a and b legs

  Example: A right triangle with legs 6 and 8: Hypotenuse c = 10.

  Open the pythagorean theorem calculator →

• Distance Formula Calculator

  d = √[(x₂ − x₁)² + (y₂ − y₁)²]

  the Pythagorean theorem on the coordinate plane

  Example: The points (1, 2) and (7, 10): Distance d = 10.

  Open the distance formula calculator →

• Midpoint Calculator

  M = ((x₁ + x₂)/2, (y₁ + y₂)/2)

  endpoint: x₂ = 2Mx − x₁, y₂ = 2My − y₁

  Example: The segment from (−2, 3) to (6, −5): Midpoint = (2, -1).

  Open the midpoint calculator →

• Circle Equation Calculator

  (x − h)² + (y − k)² = r²

  from x² + y² + Dx + Ey + F = 0: h = −D/2, k = −E/2, r² = h² + k² − F

  Example: The circle x² + y² − 4x + 6y − 12 = 0: Center and radius: center (2, -3), r = 5.

  Open the circle equation calculator →

Frequently asked questions

Sources

Last reviewed: 2026-10-15. Factors are stored exactly and computed with 50-digit decimal arithmetic. See how we verify conversion factors.