A disco ball is shaped like a sphere with a diameter of 16 inches to the nearest square inch what is the surface area of the disco ball

Respuesta :

the surface area of a sphere:
A = 4 pi r^2
where pi = 3.1416
r is the radius

since diameter is given
r = d / 2
r = 16 / 2
r = 8

A = 4 pi (8^2)
A = 804 sq in is the surface area of the disco ball

By using the general formula for the surface area of a sphere, we will see that the surface area of the disco ball is 804 in^2

How to find the surface of a sphere?

We know that for a sphere of radius R the surface is:

S = 4*π*R^2

where π = 3.14

In this case, we know that the diameter is 16 inches, and the diameter is twice the radius, then we have:

R = (16 in)/2 = 8in

Replacing that in the surface equation we get:

S = 4*3.14*(8 in)^2 = 803.84 in^2

Rounding to the nearest square inch, we get:

S = 804 in^2

If you want to learn more about spheres, you can read:

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