The radii of the two cylinders of the same height are in the ratio 4:5, then find the ratio of their volumes?
Answers
Answer:
16/25
Step-by-step explanation:
let ,
the radius of first cylinder as r1 and radius of second cylinder as r2
both cylinder has same height
let it be h
now
take the ratio of volume of two cylinders
volume of first cylinder π r1^2 h
---------------------------------------- = ----------------
volume of second cylinder. π r2^2 h
volume of first cylinder r1^2
---------------------------------------- = -----------
volume of second cylinder. r2^2
volume of first cylinder
---------------------------------------- = ( r1/r2)^2
volume of second cylinder.
volume of first cylinder
---------------------------------------- = ( 4/5)^2
volume of second cylinder.
volume of first cylinder 16
---------------------------------------- = --------
volume of second cylinder. 25