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?

Respuesta :

Answer:

Volume of cone, [tex]V=415.64\ cm^3[/tex]

Step-by-step 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 :

[tex]V=\dfrac{1}{3}\pi r^2h[/tex]

r is radius of cone, r = 11.5/2

[tex]V=\dfrac{1}{3}\times \dfrac{22}{7}\times (\dfrac{11.5}{2})^2\times 12\\\\V=415.64\ cm^3[/tex]

So, the filer paper cone can hold [tex]415.64\ cm^3[/tex] volume of liquid.