Answer:
A possible solution is that radius of cone B is 2 units and height is 36 units
Step-by-step explanation:
The volume of a cone is given by
where
r is the radius
h is the height
Here we are told that both cones A and B have the same volume, which is:
And
(2)
We also know that cone A has radius 6 units:
and height 4 units:
For cone B, from eq.(2), we get
One possible solution for this equation is
In fact in this case, we get:
Therefore a possible solution is that radius of cone B is 2 units and height is 36 units, and we know that in this case Cone B has the same volume as cone A because it is told by the problem.