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A sphere has a volume of V = 1764 in. Find its surface area.

Sagot :

Joshua326

Answer:

The surface area is 706.02

Step-by-step explanation:

SA = 224.4pi (704.62)

Alternatively (706.02 without rounding)

First, we need to find the radius of the sphere with the following equation

[tex]r = (3\frac{V}{4\pi } )^\frac{1}{3} \\r = (3\frac{1764}{12.56} )^\frac{1}{3} \\r = (3*140.45)^\frac{1}{3} \\r = (421.35)^\frac{1}{3} \\r = 7.49[/tex](pi as 3.14)

Now we can find the surface area using the following equation

[tex]SA = 4r^2\pi \\SA = 4(56.1)\pi \\SA = 224.4\pi \\[/tex]

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