Question

I NEED ASAP! PLEASE.. god bless ❤️

Answer 1

9514 1404 393

Answer:

  1) V = πr^2·h

  2) r = √(V/(20π))

  3) see attached

  4) 9048 ft^3; no extraneous solutions

Step-by-step explanation:

1) The problem statement tells you the formula for the volume is ...

  $V=\pi r^2h$

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2) Rewritten to find r, given that h=20, we have ...

  $\dfrac{V}{\pi h}=r^2\\\\r=\sqrt{\dfrac{V}{20\pi}}\qquad\text{for h=20 }$

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3) see the attachment for a graph of r(V). Volume is on the horizontal axis; radius is on the vertical axis.

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4) There are no extraneous solutions. The volume of the tank is about 9048 cubic feet. The graph shows it as 2880π cubic feet. The numerical value of that is about 9047.79 ft³ ≈ 9048 cubic feet.

Filling in r=12 in the equation of (2), we have ...

  12 = √(V/(20π))

  144(20π) = V . . . . . . square both sides; multiply by 20π

This is the same equation as in (1). It has no extraneous solutions.