Suppose a sphere , cylinder , and cone all share the same radius and 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 the sphere , cylinder and cone ? point )

Answer 1

The sphere, cylinder, and cone all have the same radius, but they have different shapes and volumes.

The volume of a sphere is given by the formula V = (4/3)πr^3, where r is the radius. Since the radius is the same for all three objects, the volume of the sphere will be the same regardless of the height.

The volume of a cylinder is given by the formula V = πr^2h, where r is the radius and h is the height. In this case, the height of the cylinder is twice the radius. So, the volume of the cylinder will be larger than that of the sphere.

The volume of a cone is given by the formula V = (1/3)πr^2h, where r is the radius and h is the height. Again, in this case, the height of the cone is twice the radius. So, the volume of the cone will also be larger than that of the sphere.

In conclusion, the following is true about the relationship between the sphere, cylinder, and cone: The volume of the sphere will be smaller than the volume of both the cylinder and the cone.