Asphere and a cylinder have the same radius and height. the volume of the cylinder is 30 m3

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

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Divide both sides by 2 we have;

Substitute in [1] we have;

Simplify:

Therefore, volume of sphere is,

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step-by-step explanation:

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