Answer:
The volume of the sphere is 20 m
Step-by-step explanation:
Given
Solid Shapes: Cylinder and Sphere
Volume of the cylinder 
Required
Volume of the sphere
First, we need to calculate the radius of the cylinder
The formula goes thus

By substituting 30 for V, we have

Divide through by h


Calculating the volume of the sphere
The formula goes thus

Expand Expression

Substitute 

Simplify Expression


Given that the height of the cylinder and the sphere are equal
This means that the height of the cylinder equals the diameter of the sphere.
Mathematically; This is represented by
h = D
Where D represents diameter of the sphere
Recall that D = 2r (2 * radius)
Substitute 2r for D
h = 2r
Substitute h = 2r in
; This gives



Hence, the volume of the sphere is 20 m