Let's denote the radius and height of the cone as r and h, respectively.
The volume of a cylinder is given by V_cylinder = πr^2h
The volume of a cone is given by V_cone = (1/3)πr^2h
Since the volumes of the cylinder and the cone are equal, we can set up the following equation:
πr^2h = (1/3)πr^2h
Dividing both sides by πr^2, we get:
h = (1/3)h
This equation tells us that the height of the cone is one-third of the height of the cylinder.
Given the height of the cylinder is 10, the possible values for the height of the cone can be:
height of the cone = 10/3 = 3.33 (which is not an option)
Therefore, none of the given options are correct.
4
10
If the cylinder and the cone shown have the same volume, then the radius
and height of the cone could be which of these?
(2 points)
radius of the cone = 5; height of the cone = 12
radius of the cone = 15; height of the cone = 4
radius of the cone = 15; height of the cone = 12
radius of the cone = 5; height of the cone = 4
1 answer
1 answer