SOLUTION: The area of a zone is 50.265 sq.cm. If the altitude of the zone is 2 cm, solve the surface area of the sphere.
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Question 1203309: The area of a zone is 50.265 sq.cm. If the altitude of the zone is 2 cm, solve the surface area of the sphere.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
Surface area of a sphere:
let altitude be and diameter
given:
The area of a spherical zone is
using the formula where is the height of the spherical layer and is the radius of the sphere, substitute given
....solve for
.....simplify
then, surface area of a sphere is:
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