Answer:
The volume of cone is 41π cm³. The required number to complete the volume statement for the cone below is 41.
Step-by-step explanation:
The volume of a cone is
[tex]V=\frac{1}{3}\pi r^2h[/tex]
Where, r is radius of the base and h is height of the cone.
This formula can also written as
[tex]V=\frac{h}{3}\times \text{Area of base}[/tex] [tex][\because \text{Area of base}=\pi r^2][/tex]
From the given figure it is clear that the area of the base is 20.5π cm² and the height of the cone is 6 cm. So, the volume of the cone is
[tex]V=\frac{6}{3}\times 20.5 \pi[/tex]
[tex]V=41\pi[/tex]
Therefore the volume of cone is 41π cm³. The required number to complete the volume statement for the cone below is 41.
