If the ratio of radii of two cylinders of same height is 4:5, then show that the ratio of their curved surface area 4:5 and the ratio of their volume is 16:25
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Let r1 and r2 be radii of two cyclinder and V1, V2 be their volume .
Let h be height of the two cyclinders, then
V1 = πr2h and V2 = πr22h
∴ V1 / V2 = πr12h / πr22h = r12 / r22 = 16 / 25 .
There's an alternate method too:
ratio of radii = 4:5
ratio of CSA= 4:5 ( to show)
ratio of volume= 16:25( to show)
let height be h
then the CSA = 2πr h/ 2πrh
from here we get = 4:5
same in volume = πr²h / πr²h
= 4²/5²
= 16: 25
Hope This Helps :)
sPavan11:
bro plz say deep and simplst way
Answered by
4
Answer:
the answer is mentioned below check there
Step-by-step explanation:
so 16.25 is my answer
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