The diameter of hemisphere is decreased by 30%. By what % it's CSA decreased ?
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Let the diameter of hemisphere x
decrease in diameter of hemisphere = 30x/100
New diameter x - 30x/100 = 70x/100
old TSA = 3πr² = 3π × (x/2)²
New TSA = 3π x (70x/200)²
let the percent change be R
R % of (x/2)² = (70x/200)²
( R/100) x (x²/4) = 4900 x² / 40000
R/400 = 4900/40000
R = 4900/100
R = 49 %
Hope this helps you !!
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