Question

Can you help me solve this please​

Answer 1

9514 1404 393

Answer:

  180 days

Step-by-step explanation:

The formulas for the volume of a cone and a cylinder are ...

  V = πr²h . . . . . volume of a cone

  V = (1/3)πr²h . . . . . volume of a cylinder

Comparing these formulas, you can see that the 6' high cone at the top will have the same volume as a cylinder of the same radius that is 2' high. So, we can simplify the problem to finding the volume of a cylinder that is 66+2 = 68' high.

  V = π(12 ft)²(68 ft) = 9792π ft³ ≈ 30752.5 ft³

When the corn is used at the rate of 170 ft³/day, it will last ...

  (30752.5 ft³)/(170 ft³/day) ≈ 180.96 days

The corn will last 180 days.

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Additional comment

In scenarios like this, it is inappropriate to round up. There will be about 162 ft³ of corn left after 180 days, which is not enough for an additional day.