the diameter of a hemisphere is decreased by 30%. what will be the percentage change in its total surface area?
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Answered by
45
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 %
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 %
sunny1711:
where are (x^2/4) in last second step
Answered by
26
Answer:
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