Volume and Surface Area of Silos Calculator

Calculate capacity and exterior surface for three common silo shapes. All formulas include cylinder, hemisphere, and cones. Adjust decimal places for precise results.

Cylindrical Silo with Hemispherical Top

Perfect for grain or liquid storage – hemisphere adds modern design.
Silo with hemispherical top diagram

Volume = Cylinder + Half Sphere

\[ V = \pi r^2 h + \frac{2}{3}\pi r^3 \]

Surface Area (exterior, including dome)

\[ A = 2\pi r h + 2\pi r^2 \]

📏 Dimensions
🔢 Precision
-- unit³
-- unit²

Cylindrical Silo with Conical Top

Classic barn silo – conical roof sheds rain and snow.
Silo with conical top diagram

Volume = Cylinder + Top Cone

\[ V = \pi r^2 h + \frac{1}{3}\pi r^2 h_t \]

Surface Area (cylinder wall + lateral cone)

\[ A = 2\pi r h + \pi r \sqrt{h_t^2 + r^2} \]

📏 Dimensions
Precision
--unit³
--unit²

Cylindrical Silo with Conical Top and Bottom

Double-cone design for efficient discharge and aerodynamic shape.
Silo with conical top and bottom diagram

Volume = Cylinder + Top Cone + Bottom Cone

\[ V = \pi r^2 h + \frac{1}{3}\pi r^2 h_t + \frac{1}{3}\pi r^2 h_b \]

Surface Area = cylinder wall + lateral area of both cones

\[ A = 2\pi r h + \pi r \sqrt{h_t^2 + r^2} + \pi r \sqrt{h_b^2 + r^2} \]

Dimensions
Precision
--unit³
--unit²

More References and Links

  1. Geometry Calculators – analyzemath.com