Snowman Calculator — Snow Volume and Weight
Find out how much snow a snowman needs: enter the radius of the base ball, the size ratios for the middle and head, and the snow density to get total volume in litres and total weight in kilograms.
cm
kg/m³
Combined weight of all three snowballs
166 L
total snow- 1
Base sphere volume
(4/3) × π × 30 cm³ = 113.1 LV = (4/3)πr³ applied to the base snowball radius. - 2
Total volume (base + middle + head)
113.1 + 38.79 + 14.14 L = 166.03 L - 3
Total snow mass
400 kg/m³ × 0.166027 m³ = 66.4
How does this calculator work?
Each snowball volume = (4/3)π r³; total mass = density × (V_base + V_middle + V_head). For a snowman with a 30 cm base, 21 cm middle and 15 cm head at 400 kg/m³ packed snow, you need about 130 litres of snow weighing roughly 52 kg.
Formula
How this is calculated
A classic snowman is built from three spheres stacked on top of each other: a large base, a medium torso, and a smaller head. The calculator models each ball as a perfect sphere and applies the standard sphere volume formula V = (4/3)π r³. The middle ball radius is entered as a fraction of the base radius (a traditional ratio is about 0.65–0.75) and the head radius as a slightly smaller fraction (about 0.45–0.55). Total height is simply twice the sum of all three radii — the diameter of each ball stacked end to end.
The total snow volume is the sum of the three sphere volumes, converted from cubic centimetres to litres (divide by 1,000). Weight equals density multiplied by volume (converted to m³, dividing cm³ by 1,000,000). Snow density varies: loose fresh snow is around 50–150 kg/m³, packable snowman snow typically 300–500 kg/m³, and wet heavy snow can reach 800 kg/m³. The default of 400 kg/m³ represents firmly packed snowman-quality snow.
Assumptions and limitations: the spheres are treated as solid and perfectly spherical with no interior voids. In practice a snowman is not mathematically spherical, and compacting snow while rolling adds variability. Use this result as an order-of-magnitude guide rather than an exact weight.
Frequently asked questions
A snowman with a 30 cm base radius, 21 cm middle ball and 15 cm head — using packed snow at 400 kg/m³ — weighs roughly 50–60 kg. A large snowman with a 50 cm base can easily exceed 400 kg. Wet snow makes the snowman far heavier than dry powder for the same size.
Loose fresh powder is around 50–150 kg/m³ and does not pack well. Snowman-quality snow — slightly wet, sticks together when squeezed — is typically 300–500 kg/m³. Use 400 kg/m³ as a practical default; increase it for very wet or slushy snow.
Traditional snowman proportions are expressed as fractions of the base radius so the calculator works for any size snowman. A middle-to-base ratio of 0.7 and a head-to-base ratio of 0.5 match the classic three-ball proportions seen in most depictions.
Also known as
TG we-Calculate Editorial Team. (2026). Snowman Calculator — Snow Volume and Weight [Online calculator]. TG we-Calculate. https://we-calculate.com/calculator/snowman-calculator
TG we-Calculate Editorial Team. "Snowman Calculator — Snow Volume and Weight." TG we-Calculate. 2026. https://we-calculate.com/calculator/snowman-calculator.
TG we-Calculate Editorial Team, "Snowman Calculator — Snow Volume and Weight," TG we-Calculate, 2026. [Online]. Available: https://we-calculate.com/calculator/snowman-calculator
@misc{wecalculate_snowman_calculator, title = {Snowman Calculator — Snow Volume and Weight}, author = {{TG we-Calculate Editorial Team}}, howpublished = {\url{https://we-calculate.com/calculator/snowman-calculator}}, year = {2026}, note = {TG we-Calculate} }
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