Question

The radius of a cylinder is increased by 5 percent. Given that the height is constant, find the percentage increase in volume. ​

Answer 1

Step-by-step explanation:

Volume =pir^h

V1=pi r1^h

V2=pir2^2h

Now,V1/V2=r1^2/r2^2

v1/v2=r1^2/(1.05)^2 ((r2=r1+5/100r1)

v1/v2=1/1.1025

v1/v2=0.907

(v1/v2-1)=0.0907×100%

(v1-v2)/v2=9.07%

increase in volume is 9.07%