Question

The radio of two cylinders are in the ratio
of 5:7 and their heights are in the
ratio of 12:25. Find the ratio of their volum​

Answer 1

Answer:

12 : 49

Step-by-step explanation:

given ratio of radius is 5:7 let us take tht as 5x nd 7x

ratio of their height is 12:25 we take tht as 12y nd 25y

we know volume = pie r2 h

vol1= pie into 5x2 into 12y = pie into 25x2 into 12y

vol2= pie into 7x2 into 25 y= pie into 49x2 into 25y

now to find their ratio

vol1;vol2

pie into 25x2 into 12y : pie into 49x2 into 25 y

we cut pie,x2,y as common to find ratio

so we have 25 into 12 : 49 into 25

i.e, 300: 1225

i.e, 60: 245

i,e, 12 :49

hence the ratio of Vol1:Vol2 = 12:49