Enter the diameter and height of the pumpkin into the calculator to estimate the weight (based on a simple shape-and-density approximation).

Pumpkin Weight Calculator

Enter any 2 values to calculate the missing variable (uses an estimated average pumpkin density).

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Pumpkin Weight Formula

The following formula is used to estimate the weight of a pumpkin by approximating it as an ellipsoid and using an assumed average density.

W \approx \frac{\pi}{6}\cdot D^2 \cdot H \cdot \rho \;\;\approx\;\; 0.01703 \cdot D^2 \cdot H

Variables:

  • W is the estimated weight of the pumpkin (lbs)
  • D is the diameter of the pumpkin (inches)
  • H is the height of the pumpkin (inches)
  • ฯ is the assumed average density (lb/inยณ). This calculator uses ฯ โ‰ˆ 0.0325 lb/inยณ (about 0.90 g/cmยณ).

To estimate the weight of a pumpkin, compute the ellipsoid volume V โ‰ˆ (ฯ€/6)ยทD2ยทH (inยณ), then multiply by the assumed density ฯ to convert volume to weight.

What is a Pumpkin Weight?

A pumpkin weight refers to the mass or heaviness of a pumpkin. This can vary greatly depending on the type of pumpkin and its size. Typically, pumpkins used for carving and decoration during Halloween can weigh between 6 to 18 pounds, while larger varieties used for competitions can weigh several hundred pounds. The world record for the heaviest pumpkin is above 2,600 pounds (about 1,180 kg), and it can change as new records are set.

How to Calculate Pumpkin Weight?

The following steps outline how to estimate Pumpkin Weight using the formula: W โ‰ˆ (ฯ€/6)ยทD2ยทHยทฯ

  1. First, determine the diameter of the pumpkin (D) in inches.
  2. Next, determine the height of the pumpkin (H) in inches.
  3. Next, square the diameter of the pumpkin (D2).
  4. Next, multiply the squared diameter (D2) by the height (H).
  5. Multiply the result by ฯ€/6 to estimate the pumpkinโ€™s volume as an ellipsoid (inยณ).
  6. Finally, multiply by the assumed density (ฯ) to estimate the weight (W).
  7. After inserting the values for D and H into the formula and performing the calculations, check your answer with the calculator above.

Example Problem:

Use the following variables as an example problem to test your knowledge.

Diameter of the pumpkin (D) = 10 inches

Height of the pumpkin (H) = 8 inches

Estimated weight (W) โ‰ˆ 13.62 lbs (using ฯ โ‰ˆ 0.0325 lb/inยณ as in the calculator).