A sphere has a diameter of 12 ft. What is the surface area of the sphere? Express the answer in terms of pi.

Recall the formula SA=4 pi r^2.


pi ft^2

Respuesta :

the answer is 144 pi^2

Answer:

[tex]SA=144\pi\ ft^2[/tex]

Step-by-step explanation:

We know that the diameter of the sphere is 12 feet.

By definition the radius of the sphere is:

[tex]r =\frac{d}{2}[/tex]

Where d is the diameter of the sphere

Then

[tex]r =\frac{12}{2}[/tex]

[tex]r =6\ ft[/tex]

Now we calculate the surface area of the sphere using the formula

[tex]SA=4\pi r^2[/tex]

[tex]SA=4\pi (6)^2[/tex]

[tex]SA=4\pi(36)[/tex]

[tex]SA=144\pi\ ft^2[/tex]

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