None of the given options is true. The correct relationship between the volume formulas for the sphere, cylinder, and cone can be found as follows:
The volume of a sphere with radius r is given by V = (4/3)πr^3.
The volume of a cylinder with radius r and height 2r is given by V = πr^2h = πr^2(2r) = 2πr^3.
The volume of a cone with radius r and height 2r is given by V = (1/3)πr^2h = (1/3)πr^2(2r) = (2/3)πr^3.
Therefore, the correct relationship is cone = (2/3)sphere and cylinder = 2sphere.
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 formulas for the sphere, cylinder, and cone?(1 point)
Responses
sphere = cylinder + cone
sphere = cylinder + cone
cone = cylinder – sphere
cone = cylinder – sphere
cylinder = sphere – cone
cylinder = sphere – cone
cone = sphere – cylinder
2 answers
choose one of the answers