The ratio of their bases = 3√3 : 8
Step-by-step explanation:
Given,
The ratio of the volume of two cylinders is 27:64.
To find the ratio of the diameters of the cylinders of their base.
Formula
Let, the radius and height of a cylinder is r and h. The volume of the cylinder V = πr²h
Let,
Radius of cylinder 1 is R and the radius of the cylinder 2 is r.
The height of the both cylinder is h.
According to the problem,
πR²h= 27a and πr²h= 64a
So,
πR²h : πr²h = 27a:64a
or, R²:r² = 27:64
or, R:r = 3√3 : 8
Hence,
The ratio of their bases = 3√3 : 8
