Answer:
B = [tex]\pi[/tex] *r^2
(Base of the cone)
Step-by-step explanation:
The volume of the cone is always 1/3 of the volume of a cylinder with the same radius and height.
Volume of the cylinder
V_cylin = ( [tex]\pi[/tex] *r^2 )* h
Where
r is the radius
h is the height
This means the volume of the cone is equal to
V_cone = (1/3)* ( [tex]\pi[/tex] *r^2 )* h
By looking to the equation of the problem
V=(1/3)Bh
We can easily deduce that
B = [tex]\pi[/tex] *r^2
(Base of the cone)