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How many bushels can a grain bin with a 30-foot diameter and 35 feet tall hold if filled to the top, using π (pi) as 3.14?

20,606.3 bushels

To determine the capacity of the grain bin in bushels, we first need to calculate the volume of the cylinder. The formula for the volume \( V \) of a cylinder is:

\[ V = \pi r^2 h \]

where \( r \) is the radius and \( h \) is the height. In this case, the diameter of the bin is 30 feet, so the radius \( r \) is half of that, which is 15 feet. The height \( h \) is given as 35 feet.

Using \( \pi \) as 3.14, we can plug in the values:

1. Calculate the area of the base:

\[

r^2 = 15^2 = 225 \text{ square feet}

\]

2. Now calculate the volume:

\[

V = 3.14 \times 225 \times 35

\]

First, calculate \( 3.14 \times 225 \):

\[

3.14 \times 225 = 706.5 \text{ square feet}

\]

Then multiply by the height:

\[

V = 706.5

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25,000 bushels

18,000 bushels

22,500 bushels

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