Question

A sphere has the volume given. Find its surface area to the nearest whole number.

Answer 1

Volume of the sphere = 900 cubic inch
Then
4/3 pi (r)^3 = 900
pi (r)^3  = (900 * 3)/4
             = 675
r^3 = 675/pi
      = 675/3.14
r^3 = 214.97
r = 6
Then
Surface area of the sphere = 4 pi (r)^2
                                            = 4 * 3.14 * (6)^2
                                            = 4 * 3.14 * 36
                                            = 452.16
                                            = 452
The surface area of the sphere given in the question is 452 square inches.