Question

A cookie factory stores flour in large bins. A bin in the shape of a cylinder has a height of 4.25 feet and a diameter of 2 feet. The bin is filled with flour to 3 inches from the top of the bin. What is the approximate volume of flour in the bin? Use 3.14 for π and round to the nearest tenth, if necessary.

Answer 1

The volume of flour in the cylindrical bin, given a height filled with flour of 4 feet and a radius of 1 foot, is approximately 12.6 cubic feet when calculated using the cylindrical volume formula.

Step-by-step explanation:

To calculate the volume of flour in the cylindrical bin, we will first convert all the measurements into the same units and then use the formula for the volume of a cylinder (V = πr²h). The height to which the bin is filled with flour is 4.25 feet minus 3 inches (which needs to be converted to feet). There are 12 inches in a foot, so 3 inches is equal to 0.25 feet. Thus, the height filled with flour is 4.25 - 0.25 = 4 feet. The diameter of the bin is 2 feet, so the radius is half of that, which is 1 foot. Now we can calculate the volume using the given value of π (3.14):

V = πr²h = 3.14 × (1ft)² × 4ft = 3.14 × 1 × 4 = 12.56 cubic feet

The approximate volume of flour in the bin, rounded to the nearest tenth, is 12.6 cubic feet.