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Calcimator

Hollow Form Calculator

Wall thickness and depth from form dimensions.

About this calculator

Hollowing a vessel through a narrow neck is mostly a geometry problem before it's a tool-control problem, and this calculator works out that geometry from the numbers you already have on the outside of the blank. It subtracts twice your target wall thickness from the outer diameter to get the interior diameter, then subtracts the wall and neck length from the overall height to get how deep the cavity actually reaches — treating that cavity as a simple cylinder to estimate interior volume and, from the difference against the outer volume, how much wood (and weight, at roughly 40 lb per cubic foot) you're about to remove. The two numbers that matter most for planning your approach are tool reach and the depth-to-opening ratio. Tool reach is simply cavity depth plus neck length plus 2 inches of working clearance, which tells you the minimum bar length your hollowing tool needs — come up short and you can't reach the bottom.

The depth-to-opening ratio is the real difficulty metric: under 2 is manageable with standard technique, 2 to 4 is genuinely challenging, and past 4 you're in expert territory where you're cutting mostly by feel and sound through a tiny opening. The calculator also flags a minimum tool bar diameter (a rule-of-thumb 1/16 inch of bar diameter per inch of reach, since a thin bar flexes and chatters at long overhangs) and a maximum RPM that scales down as diameter grows. Keep in mind the volume figure is a cylinder approximation — a rounded or ellipsoidal interior will actually hold a bit less than reported.

Inputs

in
in
in
in
in

Results

Interior diameter (in)

5.5

Interior depth (in)

6.75

Interior volume (cu in)160.4
Tool reach needed (in)9.75
Depth-to-opening ratio3.38
Difficulty (1-3)2
Min tool bar dia (in)0.61
Max hollowing RPM667
Shell Volume65.83
Removed Weight (lbs)3.71
How to Use This Calculator
  1. Enter Outer diameter (in), Overall height (in), and Opening diameter (in).
  2. Set Target wall thickness (in) and Neck length (in).
  3. Review Interior diameter (in) and Interior depth (in).
  4. Use Interior volume (cu in) and Tool reach needed (in) to inform your decision.

How the result changes with Outer diameter (in)

Outer diameter (in)Interior diameter (in)Interior depth (in)
32.56.75
4.546.75
98.56.75
1514.56.75

What each input means

Outer diameter (in)
Maximum outer diameter of the vessel.
Overall height (in)
Total height of the form from base to rim.
Opening diameter (in)
Diameter of the top opening for tool entry.
Target wall thickness (in)
Desired uniform wall thickness (3/16" to 3/8" typical).
Neck length (in)
Length of the neck/collar above the hollow body.

What each result means

Interior diameter (in)
Maximum internal width of the hollow cavity.
Interior depth (in)
Depth of the hollow cavity.
Interior volume (cu in)
Approximate interior cavity volume.
Tool reach needed (in)
Minimum hollowing tool bar length needed (depth + neck + 2" clearance).
Depth-to-opening ratio
Higher ratio = harder to hollow. Under 2 is manageable, 2-4 challenging, over 4 expert.
Difficulty (1-3)
1 = manageable, 2 = challenging, 3 = expert level.
Min tool bar dia (in)
Minimum tool bar diameter for rigidity at this reach.
Max hollowing RPM
Recommended maximum RPM for hollowing operations.

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    4 parameters
    Outer diameter (in) = 6, Overall height (in) = 8, Opening diameter (in) = 2, Target wall thickness (in) = 0.25 = 5 input(s) provided
  2. Calculate Interior diameter
    Interior diameter = outerDiameter - 2 * targetWall
    5.5 = 5.5
  3. Calculate Interior depth
    6.75 = 6.75
  4. Calculate Interior volume
    Interior volume = π * interiorRadius * interiorRadius * safeInteriorDepth
    160.4 = 160.4
  5. Calculate Tool reach needed
    Tool reach needed = safeInteriorDepth + neckLength + 2
    9.75 = 9.75

Engine last updated . Checked against 2 independently-derived tests — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.

Frequently Asked Questions

Why does the tool reach figure add 2 inches of clearance on top of the cavity depth?

Tool reach is calculated as interior depth plus neck length plus a flat 2-inch working clearance, because a hollowing tool bar needs room to maneuver above the opening, not just enough length to touch the bottom. Without that margin, you'd have the bar bottomed out with no leverage to angle the cutter against the far wall. If your setup needs more swing room than a standard handled tool, budget extra beyond this figure.

How is the maximum recommended hollowing RPM determined, and why does it fall as diameter increases?

Max RPM is computed as 4000 divided by outer diameter, so a 4-inch vessel gets roughly 1000 RPM while an 8-inch vessel gets roughly 500. Surface speed at the rim rises with diameter at a fixed RPM, and hollowing already asks you to work blind through a small opening, so the cap scales down to keep the cutting speed at the vessel wall in a controllable range as the piece gets larger.

Why does the difficulty rating jump from manageable to expert so quickly?

The depth-to-opening ratio — interior depth divided by opening diameter — drives three tiers: manageable at 2 or under, challenging from 2 to 4, and expert past 4. Once you're reaching more than four opening-diameters deep, you lose direct sightline and lighting into the cavity, and the tool is working almost entirely by feel and sound, which is why the calculator treats that threshold as a real jump rather than a gradual scale.

How much should I trust the removed-weight and interior-volume numbers?

Both are built from a cylinder approximation of the interior cavity, since the engine doesn't model a curved or bulbous profile. A real hollow form's interior is usually more rounded than a straight cylinder, so it holds somewhat less volume than reported, which means the removed-weight figure is a conservative upper bound rather than the exact weight of wood you'll actually clear.

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