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larisa [96]
3 years ago
11

If the cylinders below are similar,

Mathematics
1 answer:
earnstyle [38]3 years ago
6 0

The ratio of the volume of the smaller cylinder to the volume

of the larger cylinder is 0.422

<h3>What is the ratio of the volumes?</h3>

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:

brainly.com/question/1972490

#SPJ1

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