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