The diameter of a sphere is decrease by 25%. By what percent does its CSA decrease.
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radius will also be reduced by 25%.
let initial radius of sphere = r
initial CSA = 4πr²
after reducing it 25%,
25% of r = (25/100)×r = 0.25r
final radius = r - 0.25r = 0.75r
final CSA = 4π(0.75r²) = 4πr²×(0.5625)
let initial radius of sphere = r
initial CSA = 4πr²
after reducing it 25%,
25% of r = (25/100)×r = 0.25r
final radius = r - 0.25r = 0.75r
final CSA = 4π(0.75r²) = 4πr²×(0.5625)
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