Question

the percentage error in the measurement of length and radius of a cylinder are 1% and 2% respectively. the maximum percentage of error in its volume is​

Answer 1

Answer:

volume of cylinder=πr^2l

Step-by-step explanation:

on differentiating both sides,we get

dv/dt= 2dr/dt+ dl/dt

= 2×2+1= 5 %

hope it helps

Answer 2

Step-by-step explanation:

volume=l×r²

Error=(∆l+2∆r)%

=(1+2×2)%

=5%