If youcut the cone in two halves, you will get an equilateral triangle its vertices are vertices of an hexagon and its height is 3R/2 and R is the radius of the sphere. Continue from there
A cone circumscribes a sphere and has its slant height equal to the diameter of its base.
Show that the volume of the cone is 9/4 the volume of the sphere.
Basically I need to show my professor that the volume of the cone is 9/4 the volume of the sphere.
Can someone help me with it or just give me like 3 solution steps so I can proceed. Thanks in advance.
You got the radius of the sphere correctly assuming the height of the cone is one unit. but if you label the height of the cone h units, What the radius of the sphere would be.
Now you will need to relate h to the side of the equilateral triangle, which is the base of the triangle (why?)