What is the surface area of a sphere with a circumference of 30 ft?

Solution:

Given, the circumference of the sphere is 30 ft.

We have to find the surface area of the sphere.

Circumference = 2πr

Where, r is the radius

Given, 2πr = 30

r = 30/2π

r = 15/π ft

The surface area of a sphere is the area occupied by the curved surface of the sphere.

Surface area of a sphere = 4πr²

Where, r is the radius of the sphere.

Now, surface area = 4π(15/π)²

= 4(15)²/π

= 4(225)/π

= 900/π

We know, π = 3.14

= 900/3.14

= 286.479

= 286.5 ft

Therefore, the required surface area is 286.5 ft.

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What is the surface area of a sphere with a circumference of 30 ft?

Summary:

The surface area of a sphere with a circumference of 30 ft is 286.5 ft.