The formulas of the volume and surface area of silos of different shapes are presented along with online calculators.

Cylindrical Silo with Hemisphrical Top

Formulas for Volume and Surface Area of the Silo

Volume of Silo = Volume of Cylinder + Volume of Half Sphere
\[ \text{Volume} = \pi r^2 h + \frac{2}{3} \pi r^3 \]
Surface Area of Silo = Area of Cylinder + Area of Half Sphere
\[ \text{Area} = 2\pi r h + 2\pi r^2 \]

Calculator

Cylindrical Silo with a Conical Top

Formulas for Volume and Surface Area of the Silo

Volume of Silo = Volume of Cylinder + Volume of Top Cone
\[ \text{Volume} = \pi r^2 h + \frac{1}{3} \pi r^2 h_t^2\]
Surface Area of Silo = Area of Cylinder + Area of Lateral Surface of Top Cone
\[ \text{Area} = 2\pi r h + \pi r \sqrt{h_t^2 + r^2} \]

Calculator

Cylindrical Silo with a Conical Top and Bottom

Formulas for Volume and Surface Area of the Silo

Volume of Silo = Volume of Cylinder + Volume of Top Cone + Volume of Bottom Cone
\[ \text{Volume} = \pi r^2 h + \frac{1}{3} \pi r^2 h_t^2 + \frac{1}{3} \pi r^2 h_b^2\]
Surface Area of Silo = Area of Cylinder + Area of Lateral Surface of Top Cone + Area of Lateral Surface of Bottom Cone
\[ \text{Area} = 2\pi r h + \pi r \sqrt{h_t^2 + r^2} + \pi r \sqrt{h_b^2 + r^2} \]