Question

HELP NEEDED!

Answer 1

Answer:

$10000\pi$

Step-by-step explanation:

The formula for circumference is given by $2\pi r$. Setting this equal to the circumference in the problem, we can find the radius of the sphere:

$2\pi r=100\pi, \\r=\frac{100\pi}{2\pi},\\r=50$

Now we can use the formula for the surface area of a sphere:

Surface area of a sphere: $A=4\pi r^2$

Using $r=50$:

$A=4\cdot \pi \cdot 50^2,\\A=4\cdot 2500\cdot \pi,\\A=\boxed{10000\pi}$