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.