Mulch Calculator for Tree Rings: Donut Volume

Tree-ring mulch volume uses a donut (annulus): π × (R_outer² − R_trunk²) × depth. Leave a small bare gap at the trunk flare—do not pile mulch against bark. A 6 ft wide ring around a 1 ft trunk at 3 inches deep needs about 7 cu ft of mulch.

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Results

Ring area
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Volume
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2 cu ft bags
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3 cu ft bags
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Learn more

Tree ring formula

Area = π(R² − r²). Volume = area × depth. Example: outer diameter 6 ft (R=3), trunk keep-out 1 ft (r=0.5), depth 3": area ≈ 27.5 sq ft; volume ≈ 6.9 cu ft (~3–4 bags of 2 cu ft mulch).

The inner diameter is not the trunk bark alone—leave a bare gap so mulch does not pile against the flare. Wider rings toward the dripline generally help roots more than deep piles near the stem.

Key takeaway: Tree mulch is a donut, not a disk. Subtract the keep-out circle or you will overestimate volume and risk volcano mulching.
Approx. 2 cu ft bags for a ring at 3 in deep (1 ft keep-out)
Outer diameterVolumeBags
4 ft~2.9 cu ft~2
6 ft~6.9 cu ft~4
8 ft~12.4 cu ft~7

Why volcano mulching hurts trees

Piling mulch against bark traps moisture, invites decay organisms and rodents, and can cause roots to grow up into the mulch. Extension services consistently recommend a wide, flat doughnut with the flare visible.

Worked comparison

A 4 ft outer ring around a 0.5 ft keep-out at 3" needs less than half the mulch of a 6 ft ring at the same depth. Measure what you can maintain—thin, wide coverage usually beats a tall mound.

For rectangular beds switch to the bed mulch calculator.

Assumptions and limits

The mulch calculator tree rings results are planning estimates for rectangular or cylindrical shapes with uniform depth. Real sites have slopes, voids, and product variation. Always confirm coverage with the manufacturer label and local building practices before you buy large quantities.

Unit toggles switch input labels between US imperial and metric. Shareable URLs store your inputs in the query string for convenience, while the canonical tag stays on the clean page URL so search engines do not index every parameter combination.

Shopping checklist

  • Write down the calculator outputs (volume, bags, or piece counts) and round up for waste.
  • Call your supplier for density, dye lot, or delivery minimums when ordering bulk material.
  • Check access for trucks, wheelbarrows, and staging space before delivery day.
  • Photograph existing conditions so you can revisit dimensions if a helper measures differently.

Formulas are unit-tested TypeScript—see methodology for sources, limits, and the correction log.

FAQ

How wide should a mulch ring be?

Wider is generally better for roots—often out toward the dripline when practical. Even a 3–6 ft diameter ring helps retain moisture and reduce mower damage.

What is volcano mulching?

Piling mulch against the trunk. It traps moisture on bark and can invite decay and pests. Keep mulch a few inches away from the trunk.

Related guides

Sources

  1. Penn State Extension – Mulching Used for: Tree-ring mulch depth and volcano-mulching guidance. Checked .

Estimates only—confirm bag yields on the product label and check local building codes before you pour or order. Not affiliated with QUIKRETE, Sakrete, Sonoco, or any manufacturer named in the sources. Found an error? Tell me.

Calculator version 1.0 · Changelog

Built and maintained by — Author & maintainer

I build and maintain YardTally as a one-person project: free home and garden material calculators with documented formulas, manufacturer bag yields, and university extension guidance. I am not a licensed contractor or engineer—results are planning estimates you should check against local building codes and product labels.

Published 2026-10-19 · Last reviewed 2026-11-07 · Methodology

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