SOLUTION: The area of the cross section of a sphere at the largest point is 100π square miles. What is the total surface area of this sphere? Leave your answers in terms of π.

Algebra ->  Surface-area -> SOLUTION: The area of the cross section of a sphere at the largest point is 100π square miles. What is the total surface area of this sphere? Leave your answers in terms of π.      Log On


   



Question 1043643: The area of the cross section of a sphere at the largest point is 100π square miles. What is the total surface area of this sphere? Leave your answers in terms of π.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
The cross-section is a circle, and its radius is 10 square miles, so that the area of the cross-section, pi*r^2, is 100*pi square miles.
The area of a sphere is 4*pi^r^2=400*pi square miles.