If the diameter of a sphere is doubled its surface becomes?

area will be four times the first area

Step-by-step explanation:

the diameter of the first sphere=d

therefore radius=d/2

=r

the diameter of the second sphere becomes 2d

therefore the radius of second sphere=2r

area of a sphere=4*pi*r^2

the ratio of the two spheres = (4pi (2r) ^2) / (4pir^2)

= (4pi4r^2) / 4pir^2

cancelling 4pir^2, you get 4:1

therefore the area of the second sphere is 4 times the first one