Question

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

Answer 1

SA = 224.4pi (704.62)

Alternatively (706.02 without rounding)

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

`r = (3(V)/(4\pi ) )^(1)/(3) \\r = (3(1764)/(12.56) )^(1)/(3) \\r = (3*140.45)^(1)/(3) \\r = (421.35)^(1)/(3) \\r = 7.49`(pi as 3.14)

Now we can find the surface area using the following equation

`SA = 4r^2\pi \\SA = 4(56.1)\pi \\SA = 224.4\pi \\`

Answer 2

The surface area is 706.02

Explanation: