Question

The radius of a sphere and of a cylinder are the same. The diameter of the sphere and the height of the cylinder are also the same and are twice the length of the radius. If two cones are formed within the cylinder, as shown in the diagram, then the volume of the sphere is equal to which of the following?

(Points : 1)
the volume of the cylinder + 2(volume of one cone)

the volume of the cylinder 2(volume of one cone)

2(volume of one cone)

the volume of one cone

Answer 1

First we have to know the formula of the volume f each of the solids,

V of sphere = 4/3 pi r^3
Volume of Cylinder = pi r^2(2r)=2pi r^3
Volume of cone = 1/3 pi r^2(r)=1/3 pi r^3

The surest and easiest way we can answer this is actually assigning values. We first assign values to r hence we would get the volume of the sphere and rest of the solids (cylinder and cone). You then compare your answers to that of the sphere, and you should get your answer.