Question

two circular cylinders of equal volumes have their Heights in the ratio 1 ratio 2 find the ratio of their radius ​

Answer 1

Ratio of Radius of First Cylinder) to Radius of Second Cylinder is 1.414 / 1

Step-by-step explanation:

Volume of First Cylinder = Volume of Second Cylinder

Π (Radius of First Cylinder)^2 x (Height of First Cylinder) = Π (Radius of Second Cylinder)^2 x (Height of Second Cylinder)

(Radius of First Cylinder)^2 / (Radius of Second Cylinder)^2  = (Height of Second Cylinder) / (Height of First Cylinder)

(Radius of First Cylinder)^2 / (Radius of Second Cylinder)^2  = 2 / 1

(Radius of First Cylinder) / (Radius of Second Cylinder)  = √2 / √1

(Radius of First Cylinder) / (Radius of Second Cylinder)  = 1.414 / 1

So,

Ratio of Radius of First Cylinder) to Radius of Second Cylinder is 1.414 / 1

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