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,

an

y = 6x -3y -12

y +3y +12 = 6x

=> . x = { 2y / 3 +2 } this is equation of line in terms of x

=> . if line meets the x-axis the co-ordinates of meeting point would be ( x , 0 )

=> . x = 2 ( 0 ) / 3 + 2

=> . x = 2

so, the point is ( 2 , 0 )

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