Radikulus

Ellipsoid Organ Volume Calculator

VoluMetrics · Geometric volume estimates from three diameters, with organ presets and selectable prostate and testis formulas.

Criteria: PI-RADS v2.1Turkbey et al. Eur Urol. 2019;76(3):340–351. PMID 30898406. and ESUR-SPIWG 2025Lotti et al. Eur Radiol. 2025;35(2):752–766. PMID 39083089.. Last checked for newer criteria 28 Oct 2026.

Inputs

Organ or shape
Units
cm
cm
cm

Results

Volume
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Formula
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How to read this calculator

Enter three mutually perpendicular diameters of the same structure. Permuting the same three values does not change the volume.

Ellipsoid estimates

The prostate ellipsoid preset uses 0.52. General ellipsoid, testis ellipsoid, thyroid lobe, kidney, spleen, ovary and uterus use exact π/6. For the same diameters, 0.52 gives volumes about 0.69% lower than π/6.

Worked example

Published case: Right testis, ultrasound follow-up after gunshot injury. Reported volume 24.43 mL; formula not specified. Sholan R et al 2026, Case Presentation, third-year follow-up, PMID 42325409

Volume: 24.63 mL. Formula: Ellipsoid (π/6 ≈ 0.5236).

Prostate

AP × longitudinal × transverse × 0.52, with dimensions in cm (PI-RADS v2.1). PI-RADS v2.1 and the AIUM prostate ultrasound parameter, revised 2025, specify 0.52 for ellipsoid volume estimation. MacMahon’s bullet formula, π/4.8, was evaluated against planimetry in 138 brachytherapy patients; this calculator uses its rounded coefficient, 0.65. For PSA density, use the Prostate volume calculator.

Testis

ESUR-SPIWG 2025 suggests 0.52 × L × W × H for testicular ultrasound volume in adult male infertility evaluation; the formula recommendation is weak. Its hypotrophy thresholds are right <12 mL or left <11 mL, based on lower reference limits in healthy, fertile men. These thresholds are not applied by this calculator. Its testis ellipsoid option uses exact π/6. The ACR–AIUM–SPR–SRU and AIUM scrotal ultrasound parameters, revised 2025, permit Lambert’s formula, 0.71 × L × W × H. Report the diameters and formula used. In Sakamoto’s study of 40 testes from 20 older men undergoing orchiectomy for prostate cancer, Lambert had the smallest mean difference from water-displacement volume. Volume alone does not establish fertility.

Thyroid lobe

The thyroid-lobe preset estimates one lobe using π/6 × L × W × D. In a cadaver ultrasound study, Brunn et al. derived a correction factor of 0.479 against displacement measurements; for identical dimensions, π/6 gives approximately 9.3% higher values. No thyroid reference-range interpretation is applied.

Bladder

In 85 patients undergoing urodynamics, 0.52 was the only one of four tested coefficients without a statistically significant difference from catheter volume (Araklitis 2019). The accessible abstract does not specify the ultrasound route or dimensional measurement protocol; applicability to other settings is uncertain.

The ACR abdominal ultrasound practice parameter says a post-void residual may be quantified and reported; it sets no volume threshold.

Kidney

In 20 adult volunteers, ultrasound ellipsoid volumes averaged 25% (45 mL) below MRI voxel-count volumes and had poor repeatability (Bakker 1999). Applying the ellipsoid formula to MRI also underestimated volume, indicating that kidney shape was a major limitation. This preset provides geometry only, without a correction factor.

Spleen

The ACR abdominal ultrasound parameter, revised 2026, notes that splenic length and volume may help assess enlargement. Chow et al. published height- and sex-adjusted ultrasound references; those references are not applied to this calculator’s geometric estimate.

Ovary and uterus

Ovarian upper limits from Pavlik 2000: 20 cm³ premenopausal and 10 cm³ postmenopausal, from women 25–91 years old. Pavlik used 0.523; this calculator’s ovarian preset uses exact π/6.

For uterine centiles use the dedicated Kelsey tool; the studies pooled by Kelsey used 0.5 × L × W × H rather than π/6.

Frequently asked questions

Which formula does each preset use?

See Ellipsoid estimates, Bladder, Testis and Prostate for the preset coefficients and formula limitations.

How is bladder volume calculated on ultrasound?

The bladder preset uses 0.52 × length × width × depth with dimensions in cm and volume in mL. See Bladder for the study context and measurement limitations.

What is the Lambert formula for testicular volume?

See Testis for Lambert’s formula, the calculator’s exact π/6 alternative and the guideline comparison.

How is thyroid lobe volume calculated?

See Thyroid lobe for the per-lobe formula, the Brunn comparison and the absence of reference-range interpretation.

How is splenic volume calculated?

This calculator's spleen preset applies the ellipsoid formula, π/6 × length × width × depth, as a geometric estimate. See Spleen for the reference-method limitations.

References

  1. Turkbey B, Rosenkrantz AB, Haider MA, et al. Prostate Imaging Reporting and Data System Version 2.1: 2019 update of Prostate Imaging Reporting and Data System Version 2. Eur Urol. 2019;76(3):340-351. doi:10.1016/j.eururo.2019.02.033. PMID 30898406. (PI-RADS v2.1)
  2. Lotti F, Studniarek M, Balasa C, et al. The role of the radiologist in the evaluation of male infertility: recommendations of the European Society of Urogenital Radiology-Scrotal and Penile Imaging Working Group (ESUR-SPIWG) for scrotal imaging. Eur Radiol. 2025;35(2):752-766. doi:10.1007/s00330-024-10964-5. PMID 39083089. (ESUR-SPIWG 2025)
  3. Sakamoto H, Saito K, Oohta M, Inoue K, Ogawa Y, Yoshida H. Testicular volume measurement: comparison of ultrasonography, orchidometry, and water displacement. Urology. 2007;69(1):152-157. doi:10.1016/j.urology.2006.09.012. PMID 17270639.
  4. Araklitis G, et al. Can we replace the catheter when evaluating urinary residuals? Neurourol Urodyn. 2019;38(4):1100-1105. doi:10.1002/nau.23963. PMID 30843290.
  5. Pavlik EJ, DePriest PD, Gallion HH, et al. Ovarian volume related to age. Gynecol Oncol. 2000;77(3):410-412. doi:10.1006/gyno.2000.5783. PMID 10831351.
  6. Kelsey TW, Ginbey E, Chowdhury MM, Bath LE, Anderson RA, Wallace WH. A validated normative model for human uterine volume from birth to age 40 years. PLoS One. 2016;11(6):e0157375. doi:10.1371/journal.pone.0157375. PMID 27295032.
  7. MacMahon PJ, et al. Modified prostate volume algorithm improves transrectal US volume estimation in men presenting for prostate brachytherapy. Radiology. 2009;250:273–280. doi:10.1148/radiol.2501080290. PMID 19092098.
  8. Aprikian S, et al. Improving ultrasound-based prostate volume estimation. BMC Urol. 2019;19:68. doi:10.1186/s12894-019-0492-2.
  9. AIUM Practice Parameter for the Performance of Ultrasound Evaluation of the Prostate (and Surrounding Structures), 2025 Revision. J Ultrasound Med. 2026;45(5):E16–E20. doi:10.1002/jum.70128.
  10. ACR–AIUM–SPR–SRU Practice Parameter for the Performance of Scrotal Ultrasound Examinations, revised 2025. https://www.acr.org/Clinical-Resources/Practice-Parameters-and-Technical-Standards
  11. AIUM Practice Parameter for the Performance of Scrotal Ultrasound Examinations, 2025 Revision. J Ultrasound Med. 2026;45(5):E10–E15. doi:10.1002/jum.70127.
  12. ACR–AIUM–SPR–SRU Practice Parameter for the Performance of an Ultrasound Examination of the Abdomen and/or Retroperitoneum, revised 2026. https://www.aium.org/resources/practice-parameters
  13. ACR–ACOG–AIUM–SPR–SRU Practice Parameter for the Performance of Ultrasound of the Female Pelvis, revised 2024. https://www.aium.org/resources/practice-parameters
  14. Chow KU, et al. Spleen Size Is Significantly Influenced by Body Height and Sex: Establishment of Normal Values for Spleen Size at US with a Cohort of 1200 Healthy Individuals. Radiology. 2016;279:306–313. doi:10.1148/radiol.2015150887. Abstract-based review.
  15. Brunn J, et al. Volumetric analysis of thyroid lobes by real-time ultrasound. Dtsch Med Wochenschr. 1981;106:1338–1340. doi:10.1055/s-2008-1070506.
  16. Bakker J, et al. Renal volume measurements: accuracy and repeatability of US compared with that of MR imaging. Radiology. 1999;211:623–628. doi:10.1148/radiology.211.3.r99jn19623.
  17. Sholan R et al 2026, Case Presentation, third-year follow-up, PMID 42325409

Last updated: 31 Oct 2026