Question

What is the surface area of a sphere with a circumference of 100T? Leave

Answer 1

Answer:

10000π units²

Step-by-step explanation:

From the question given above, the following data were obtained:

Circumference (C) = 100π

Surface Area of sphere (SA) =?

Next, we shall determine the radius. This can be obtained as follow:

Circumference (C) = 100π

Radius (r) =?

C = 2πr

100π = 2πr

Divide both side by 2π

r = 100π / 2π

r = 50 units

Finally, we shall determine the surface area of the sphere. This can be obtained as follow:

Radius (r) = 50 units

Surface Area of sphere (SA) =?

SA = 4πr²

SA = 4 × π × 50²

SA = 4 × π × 2500

SA = 10000π units²

Therefore, the surface area of the sphere is 10000π units²