 ### Description

Sometimes body fluids are captured in a bucket and the volume needs to be estimated. One example is the cholera bucket used to capture the watery diarrhea, with a dipstick used to estimate volume as a guide to fluid replacement.

Factors:

(1) A bucket is an inverted, truncated cone.

(2) The circumference at the base and top can be more accurately measured than the radius.

circumference in centimeters =

= 2 * π * (radius in cm)

volume of the fluid in mL (cubic cm) =

= 1/3 * π * (height of fluid in cm) * (((radius of bucket at base in cm)^2) + ((radius of bucket at top of fluid in cm)^2) + ((radius of bucket at base in cm) * (radius of bucket at top of fluid in cm)))

radius at a given height in cm =

= ((slope of bucket) * (height in cm)) + (radius at base in cm)

slope of bucket =

= ((radius at top of bucket in cm) – (radius at base in cm)) / (height of the bucket from base to rim in cm) =

= ((circumference at top in cm) – (circumference at base in cm)) / (2 * π * (height of bucket in cm))