Question

In a chemistry lab students use a filter paper cone to filter a liquid. The diameter of the cone is 11.5 cm and its height is 12 cm. How much liquid will the cone hold when it is​ full?

Answer 1

Volume of cone,
`V=415.64\ cm^3`

Explanation:

In a chemistry lab students use a filter paper cone to filter a liquid.

Diameter of the cone, d = 11.5 cm

Height of the cone, h = 12 cm

It is required to find the liquid that the cone can hold. It means we need to find the volume. The formula of the volume of cone is given by :

`V=(1)/(3)\pi r^2h`

r is radius of cone, r = 11.5/2

`V=(1)/(3)* (22)/(7)* ((11.5)/(2))^2* 12\\\\V=415.64\ cm^3`

So, the filer paper cone can hold
`415.64\ cm^3` volume of liquid.