Question

the movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer.
find the volume of a grain storage building that has a cylinder bottom that is 20 meters in diameter and 10 meters in height. it has a cone - shaped top as a roof that has the same diameter as the bottom and a height of 6 meters. find the volume of the building in cubic meters if it was full of grain from the bottom to the top of the roof. all measures noted in the diagram below are in meters. use \\( \pi = 3.14 \\) in your calculations. enter only the number.

Explanation:

Step1: Calculate the volume of the cylinder

The formula for the volume of a cylinder is \(V_{cylinder}=\pi r^{2}h\). Given the diameter \(d = 20\) meters, the radius \(r=\frac{d}{2}=10\) meters and height \(h = 10\) meters. Substitute into the formula:
\(V_{cylinder}=3.14\times10^{2}\times10=3.14\times100\times10 = 3140\) cubic meters.

Step2: Calculate the volume of the cone

The formula for the volume of a cone is \(V_{cone}=\frac{1}{3}\pi r^{2}h\). The radius \(r = 10\) meters (same as the cylinder) and height \(h = 6\) meters. Substitute into the formula:
\(V_{cone}=\frac{1}{3}\times3.14\times10^{2}\times6=\frac{1}{3}\times3.14\times100\times6=3.14\times100\times2=628\) cubic meters.

Step3: Calculate the total volume

The total volume \(V = V_{cylinder}+V_{cone}\).
\(V=3140 + 628=3768\) cubic meters.

Answer:

3768