if the height of cylinder is increased by 15% and its radius is decreased by 10%. then percentage change in its curved surface area is
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Answer:
increase of 3.5%
Step-by-step explanation:
CSA = 2πrh
CSA(initial) = 2πrh
height increased by 15% = h + 15h / 100
final H = 23h/20
radius decreased by 10% = 90/100 of r
final r = 9r/10
CSA(final) = 2 x π x 9r/10 x 23h/20
= 2πrh(9/10 x 23/20)
=2πrh(207/200)
percentage final = 207/ 200 of 100
or 207/200 x 100
= 207/2
= 103.5
percentage change = final(103.5) - initial(100)
= 3.5 %
thus, increase of 3.5%
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