Question

The radius of the base of a right circular cylinder is increased by 75% and the height is
decreased by 50%. Find the per cent increase or decrease in the volume​

Answer 1

Answer:

right cicular cylinder is increased by 75%and the hight is cicular

Answer 2

Step-by-step explanation:

Let initial radius be, r

Then, new radius = r(100+75/100) = 7r/4

New height = h(100-50/100) = h/2

initial volume = pie r^2h

new volume= pie(7r/4)^2 (h/2) = 49/32 pie r^2h

therefore, percentage increase= new volume - initial volume/initial volume *100

After substitution = 49/32pie r^2h- pier^2h/pier^2h *100

= (49/32 - 1) pie r^2h/  pie r^2h *100

= (49/32-1) 100=17/32*100=425/8= 53.12 %

therefore, the percentage increase in volume of the cylinder is 53.12%