If
diameter
sphere is decreased by
wie
decrease?
25% then what percent does its surface
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Surface area = 4πR²
A = 4πR²
Here
ΔA/A => Percentage change in area
ΔR/R => Percentage change in radius or diameter
Given that,
ΔR/R = 25% = 25/100 = 1/4
Putting this value in the equation we get,
ΔA/A = 2ΔR/R
ΔA/A = 2 * 1/4 = 1/2
ΔA/A = 1/2 * 100 = 50%
When diameter or radius is decreased by 25% the area of the sphere decreases by 50%
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