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How many liters does the 9 meter long tank hold if its diameter is 2.5 meters?

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9514 1404 393

Answer:

44,178.6 L

Explanation:

The volume in liters is conveniently computed using dimensions in decimeters (dm). There are 10 of those in each meter, so the dimensions are ...

90 dm long by 25 dm in diameter

In terms of diameter, the volume of a cylinder is ...

V = (π/4)d²h

V = (π/4)(25 dm)²(90 dm) = 14062.5π dm³ . . . . 1 dm³ = 1 L

Using the "pi button", we find the volume to be ...

V = 14062.5(3.141593) L = 44,178.6 L

_____

If you inappropriately use 3.14 for pi, your volume will be 44,156.25 L.

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