this is your answer, i hope this helps you
<span>Although two cylinders may have equal diameters, their volumes are not necessarily equal, as the volume of a cylinder is dependent also on the cylinder's height. The same holds true for cones. Spheres, however, are, by nature, proportional. Therefore, if two spheres have the same diameter, they also have the same volumes.</span>
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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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<em>Additional comment</em>
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.
The answer for the question is 11:45
