Two right circular cylinders of equal volume are such that their radii

1.	Two right circular cylinders of equal volume are such that their radii are in the ratio2:3. The ratio of their heights will be a) 2 : 3 b) 4 : 9c) 3 : 2d) 9 : 4Also explain your answer.
Answer» Answer: d)9:4 Step-by-step explanation: Given, Two right CIRCULAR cylinders of equal volume are such that their RADII are in the ratio 2:3. we know volume of cylinder FORMULA πr^2h two cylinder volumes are equal let r1,h1 is ratio and height of cylinder 1 likewise, R2,h2 is ratio and height of cylinder 2 volume of cylinder 1=volume of cylinder 2 πr1^2h1= πr2^2h2 we know that r1:r2=2:3 then, π2^2h1=π3^2h2 h1/h2=9/4

Two right circular cylinders of equal volume are such that their radii are in the ratio2:3. The ratio of their heights will be a) 2 : 3 b) 4 : 9c) 3 : 2d) 9 : 4Also explain your answer.

Answer»

Answer:

d)9:4

Step-by-step explanation:

Given,

Two right CIRCULAR cylinders of equal volume are such that their RADII are in the ratio 2:3.

we know volume of cylinder FORMULA π*r^2*h

two cylinder volumes are equal

let r1,h1 is ratio and height of cylinder 1

likewise,

R2,h2 is ratio and height of cylinder 2

volume of cylinder 1=volume of cylinder 2

π*r1^2*h1= π*r2^2*h2

we know that r1:r2=2:3

then,

π*2^2*h1=π*3^2*h2

h1/h2=9/4

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Two right circular cylinders of equal volume are such that their radii are in the ratio2:3. The ratio of their heights will be a) 2 : 3 b) 4 : 9c) 3 : 2d) 9 : 4Also explain your answer.​

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Two right circular cylinders of equal volume are such that their radii are in the ratio2:3. The ratio of their heights will be a) 2 : 3 b) 4 : 9c) 3 : 2d) 9 : 4Also explain your answer.