the diameters of 2 cylinder are in the ratio 2:3.find the ratio of their height if volume equal
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R1=2r. R2=3r
V1=V2
πr1^2H1=πr2^2H2
H1/H2=r2^2/r1^2
=9/4
H1:H2=9:4
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Answer:
D 1 : d 2 = 2:3
=> r 1 : r 2= 2 : 3
Let r 1= 2 r
r 2 = 3 r
h 1 and h 2 be heights
Vol cylinder 1= π * r1^2 * h 1
Vol cylinder 2= π * r 2^ 2 * h 2
APQ
Both volumes are equal
π *(2r)^2 * h1 = π *(3r)^2*h2
=> 4h1 = 9h2
=> h1/h2= 9/4
=> h1:h2 = 9:4
Step-by-step explanation:
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