# Volume and Surface Area of Silos Calculator



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

 Height of Cylinder $$h$$ = 10 Radius $$r$$ = 3 Number of Decimals = 4

## 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

 Height of Cylinder $$h$$ = 10 Radius $$r$$ = 3 Height of Top Cone $$h_t$$ = 5 Number of Decimals = 4

## 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
$\text{Area} = 2\pi r h + \pi r \sqrt{h_t^2 + r^2} + \pi r \sqrt{h_b^2 + r^2}$

### Calculator

 Height of Cylinder $$h$$ = 10 Radius $$r$$ = 3 Height of Top Cone $$h_t$$ = 5 Height of Bottom Cone $$h_b$$ = 3 Number of Decimals = 4