Question

Cons A has a radius 6 units and height 4 units fond one possible radius

and height for cone B explain how you know Cone B has the same volume as Cone A?

Answer 1

A possible solution is that radius of cone B is 2 units and height is 36 units

Explanation:

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.