SOLUTION: The radius of a spherical beach ball is 24 centimeters. If another spherical beach ball has a radius 3 centimeters longer, about how much greater is its surface area, to the neares

Algebra ->  Surface-area -> SOLUTION: The radius of a spherical beach ball is 24 centimeters. If another spherical beach ball has a radius 3 centimeters longer, about how much greater is its surface area, to the neares      Log On


   



Question 952955: The radius of a spherical beach ball is 24 centimeters. If another spherical beach ball has a radius 3 centimeters longer, about how much greater is its surface area, to the nearest square centimeter?
A 37cm
B 113cm
C 1,923cm
D 24,542cm

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

Surface Area of a Sphere SA=+4pi%2Ar%5E2
The radius of a spherical beach ball is r=24cm.
If another spherical beach ball has a radius 3cm longer,then a radius is r%5B1%5D=24cm%2B3cm=27cm
SA=+4pi%2Ar%5E2
SA=+4%2A3.14%2A%2824cm%29%5E2
SA=+12.56637%2A576cm%5E2
SA=+7238.22912cm%5E2

SA%5B1%5D=+4pi%2Ar%5B1%5D%5E2
SA%5B1%5D=+4%2A3.14%2A%2827cm%29%5E2
SA%5B1%5D=+12.56637%2A729cm%5E2
SA%5B1%5D=+9160.88373cm%5E2

SA%5B1%5D-SA=+9156.88373cm%5E2-7234.22912cm%5E2
SA%5B1%5D-SA=+1922.65461cm%5E2, to the nearest square centimeter will be
SA%5B1%5D-SA=+1923cm%5E2
answer is:
C 1923cm%5E2