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The volume, v, of a cylinder is equal to this area base, b, times it’s height h. if the diameter of the cylinder is 18 feet and it’s height is 2.9 feet, which expression represents v in cubic meters?

Sagot :

facundo3141592

The volume of the cylinder in cubic meters is 20.886 m^3

How to get the volume?

We know that the volume is the area of the base times the height.

In this case, the diameter of the base is 18 ft, so the radius (half of that) is:

R = 18ft/2 = 9ft

Then the area of the base is:

B = 3.14*(9ft)^2 = 254.34 ft^2

And the height is 2.9 ft, then the volume is:

V = (2.9 ft)*254.34 ft^2 = 737.586 ft^3

Now, we know that:

1ft = 0.3048 m

if we cube both of these

1 ft^3 = (0.3048 m)^3 = 0.0283 m^3

Now we can change the unis of our volume:

V = 737.586 ft^3 = 737.586*0.0283 m^3 = 20.886 m^3

If you want to learn more about volumes, you can read:

https://brainly.com/question/1972490

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