Find the surface area of a sphere with radius 10 in. Leave your answer in terms of pi.

Solution:

The area covered by the outer surface of the sphere is known as the surface area of a sphere.

A sphere is a three-dimensional solid object which has a round structure, like a circle.

The difference between a sphere and a circle is that a circle is 2-dimensional, whereas a sphere is a 3-dimensional shape.

It is given that

Radius of the sphere = 10 inches

The formula to find the surface area of a sphere is

A = 4πr²

Where r is the radius

Substituting the values

A = 4π(10)²

A = 4π(100)

A = 400π square inches

Therefore, the surface area of a sphere is 400π square inches.

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Find the surface area of a sphere with radius 10 in. Leave your answer in terms of pi.

Summary:

The surface area of a sphere with radius 10 in is 400π square inches.