If a sphere’s radius is quadrupled, the corresponding change in surface area is that the surface area will be multiplied by 16 option (B) is correct.
It is defined as three-dimensional geometry when half-circle two-dimensional geometry is revolved around the diameter of the sphere that will form.
Let's suppose the radius of the sphere is r units.
The surface area of the sphere is given by:
[tex]\rm S = 4\pi r^2[/tex]
Where r is the radius of the sphere and S is the surface area.
If radius r = 4r ( if radius is quadrupled)
Put this value in the surface area of the sphere formula, we get:
[tex]\rm S' = 4\pi (4r)^2[/tex]
[tex]\rm S' = 16\times4\pi r^2[/tex]
[tex]\rm S' = 16S[/tex] [tex](\rm S = 4\pi r^2)[/tex]
Thus, the surface area multiplied by 16 option (B) is correct.
Learn more about the sphere here:
https://brainly.com/question/11374994
