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Calculated in the browser

Frustum of a cone

A top radius of zero turns the shape into an ordinary cone.

How it is calculated

Height is the perpendicular between the two bases, not the length of a sloping side.

V = πh / 3 × (R² + Rr + r²)

Where the numbers come from

  • Lower radius
  • Upper radius
  • Height

Example

Radii 5 and 3, height 4. Volume π × 4 / 3 × (25 + 15 + 9) = 196π / 3.

Questions

Is the top larger than the bottom?

Yes, the formula is symmetric.

Is this a bucket?

Yes, if the bucket is round and the walls are straight in cross-section. Subtract the wall thickness from the radii yourself.

Lateral surface area?

Volume only, on this screen.