# Circular Based Tapered Hopper Volume Calculator

Hoppers are most commonly used in the industrial and farming fields. A tapered hopper is generally in the shape of a pyramid or cone which is turned upside down with a large top that tapers down to a smaller bottom. The gravity inside the tapered hopper causes the material inside the hopper to feed out the bottom when opened. Given here is an online Circular Based Tapered Hopper Volume Calculator calculator with which you could calculate the volume of a circular based tapered hopper.

Hoppers are most commonly used in the industrial and farming fields. A tapered hopper is generally in the shape of a pyramid or cone which is turned upside down with a large top that tapers down to a smaller bottom. The gravity inside the tapered hopper causes the material inside the hopper to feed out the bottom when opened. Given here is an online Circular Based Tapered Hopper Volume Calculator calculator with which you could calculate the volume of a circular based tapered hopper.

Code to add this calci to your website

#### Formula:

v = (π H / 12) [D^{2} + Dd + d^{2}]
**Where,**
V = Volume
H = Height between Bases
D = Diameter of the Upper Circular Base
d = Diameter of the Lower Circular Base
### Example:

Find the volume of the circular hopper if the diameter of the upper and lower circular bases are 10 cm and height between two bases is 6cm.

#### Circular Tapered Hopper Volume:

= (3.14 x 6 / 12) [10^{2} + (10 x 5) + 5^{2}]

= 274.8894 cm^{3}