Answer:
Option B is correct
Step-by-step explanation:
Volume of the sphere(V) is given by:
; .....[1] where, r is the radius of the sphere.
Volume of cylinder(v') is given by:
where, r' is the radius of the cylinder and h' is the height of the cylinder
As per the statement:
A sphere and a cylinder have the same radius and height.
r = r'
h = 2r = h'
It is also given that: The volume of the cylinder is 30 m^3
⇒
⇒
⇒
Divide both sides by 2 we have;
Substitute in [1] we have;
Simplify:
Therefore, volume of sphere is,