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jek_recluse [69]
3 years ago
5

A cylinder is filled with 900 liters of water.find the area of its base if height of cylinder is 20dm.

Mathematics
1 answer:
Lisa [10]3 years ago
5 0
The formula of the volume of a cylinder:

V=\pi r^2H\\\\where:\\\\r-a\ radius\\H-a\ height\\\pi r^2-an\ area\ of\ base

We have:

V=900\ liters\\1L=1dm^3\ therefore\ V=900L=900dm^3

and

H=20\ dm

substitute:

\pi r^2\cdot20=900\ \ \ |:20\\\\\pi r^2=45\ dm^2

Answer: The area of a base of the cylinder is equal 45 dm².
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