The ratio of the volume of the rigth circular cylinder a to the volume of the right circular cylinder b is 1: 18.
According to the given question.
We have two right circular cylinder, a nd b.
Also,
The radius of right circular cylinder, a is r.
The height of the right circular cylinder, a is h.
The radius of the right circular cylinder, b is 3r.
And the height of the right circular cylinder, b is 2h.
As we know that, the volume of a cylinder can be calculated using the formula V=πr^2(h). Where r is the radius and h is the height of the cylinder.
So, the volume of the right circular cylinder a = πr^2h
And, the volume of the right circular cylinder b = π(3r)^2(2h) = 18hr^2π
Therefore,
The ratio of the volume of the rigth circular cylinder a to the volume of the right circular cylinder b
= πr^2h/18hr^2π
= 1:18
Hence, the ratio of the volume of the rigth circular cylinder a to the volume of the right circular cylinder b is 1: 18.
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