What will be the approximate percentage increase or decrease in volume of a cylinder if its radius is increased by 21% and height is decreased by 11%?
Answers
Answered by
1
Vi=πr²h
after increment of radius and decrement of height
Vf= π(r+21r/100)²(h-11h/100)
Vf = (121/100)²(89/100)πr²h
Vf=1.3πr²h
so percentage increase in volume is
=(Vf-Vi/Vi)×100
=.3×100
=30%
here,
Vf=final volume
Vi = initial volume
r= radius
h= height
after increment of radius and decrement of height
Vf= π(r+21r/100)²(h-11h/100)
Vf = (121/100)²(89/100)πr²h
Vf=1.3πr²h
so percentage increase in volume is
=(Vf-Vi/Vi)×100
=.3×100
=30%
here,
Vf=final volume
Vi = initial volume
r= radius
h= height
Similar questions