Question 284724
let r be the radius 

h the height

volume of cylinder = pi*r^2*h

r is increased by 40 %

new radius = 1.4

new height = 0.5h

new volume = pi*(1.4r)^2 * 0.5h

original volume / new volume =  pi*r^2*h  / pi* (1.4r)^2*0.5h

= 1/(1.4)^2*0.5)
=1.02

meaning 2 % increase