Problema Solution
The surface area of a sphere is 169*Pie square inches and the area of its zone is a 81*pie square inch.Find the altitude of the zone.
Answer provided by our tutors
The surface area of a sphere = 4*pi*R^2 = 169*pi
So R = 13/2 inches
the altitude of the zone = H
The area of zone = 2*pi*R*H = 2*pi*(13/2)*H = 13*pi*H
13*pi*H = 81*pi
H = 81/13 = 6.23 inches
So the altitude of the zone is 6.23 inches