The ratio of the volume of the smaller cylinder to the volume
of the larger cylinder is 0.422
What is the ratio of the volumes?
We know that for the smaller cylinder, one of the dimensions, let's say the height, is 18ft, and for the larger the height is 24ft.
The quotient is:
24ft/18ft = 4/3
Then the ratio between the radius of the cylinders must be the same, if R is the radius of the larger cylinder and r the radius of the smaller cylinder we get:
R/r = 4/3
Then the ratio between the volumes (the volume of the smaller over the volume of the larger) is equal to the cube of the scale factor:
V = (3/4)^3 = 9/16 = 0.422
If you want to learn more about volumes:
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