suppose a sphere cylinder and cone all share the same radius the cylinder and cone also share the same height which is twice the radius which of the following is true about the relationship between the volume formula for the sphere cylinder and cone
The volume formula for a sphere with radius r is 4/3 * π * r^3.
The volume formula for a cylinder with radius r and height 2r is π * r^2 * 2r = 2π * r^3.
The volume formula for a cone with radius r and height 2r is 1/3 * π * r^2 * 2r = 2/3 * π * r^3.
Therefore, the relationship between the volume formulas for the sphere, cylinder, and cone is that the volume of the cylinder is twice the volume of the sphere, and the volume of the cone is 2/3 the volume of the cylinder and consequently 4/3 the volume of the sphere.