Cone Bottom Tank calculator

Volume of vertical tanks with conical bottoms at any level. Exact geometry, instant results, nothing leaves your browser.

FIG. 1 — TANK CROSS-SECTION · LIVE

SCALE AUTO · REV A

01 · Tank shape

02 · Dimensions

Dim. unit

Liquid

03 · Fill depth (dipstick)50%

Wetted depth—

Surface width—

Ullage—

Liquid volume at fill depth

—US gal

Total capacity—

Filled · liters—

Filled · ft³—

Percent full—

Liquid weight—

Remaining to full—

Exact segment geometry — see methodology. Dished-head propane math is documented there too.

Cone-bottom tanks drain completely, which is why brewing, water treatment and chemical mixing use them. Volume below the knuckle grows with the cube of depth (the cone), then linearly through the cylinder — this calculator handles the piecewise math and shows exactly where your level sits.

How this is calculated

Total volume

V = πr²Hcone/3 + πr²Hcyl

Filled volume at liquid depth h

h≤Hcone: V = π(r·h/Hcone)²·h/3 | h>Hcone: V = Vcone + πr²(h−Hcone)

Inside the cone the wetted radius grows with depth, so volume grows with depth cubed; above the cone it switches to linear cylinder math. See the full derivation, a worked example and a fill-ratio table on the cone-bottom tank formula page.

FAQ

TVC-107/FAQ

How do I measure the cone height?

From the outlet apex vertically to where the straight wall begins. Total depth = cone height + cylinder height.

My cone is truncated at the outlet — does that matter?

For a typical small outlet fitting the missing tip is a fraction of a gallon; for large truncations model the cone portion with the frustum calculator.