Answer:
[tex]200$ unit^2[/tex]
Step-by-step explanation:
Surface Area of a Sphere[tex]=4\pi r^2[/tex]
Given that the surface area of a sphere is 50 units².
Then:
[tex]4\pi r^2 =50\\r^2=\dfrac{50}{4\pi}\\ r=\sqrt{\dfrac{50}{4\pi}}[/tex]
If a sphere has twice the radius of the sphere above
Its radius, [tex]r=2\sqrt{\dfrac{50}{4\pi}}[/tex]
Therefore its Surface Area
[tex]=4\pi\left(2\sqrt{\dfrac{50}{4\pi}}\right)^2\\=4\pi*4*\dfrac{50}{4\pi}}\\\\=200 unit^2[/tex]
