Question

a cylindrical grain silo has a radius of 6.2 meters and a height of 25 meters. how much grain can the silo hold? use 3.14 for π. round your answer to the nearest tenth at the end of the calculation.
use the keypad to type your answer in the box provided.
the amount of grain the silo can hold is □ cubic meters.

Explanation:

Step1: Write the formula for the volume of a cylinder

The volume \( V \) of a cylinder is given by \( V=\pi r^{2}h \), where \( r \) is the radius and \( h \) is the height.

Step2: Substitute the given values

Here, \( r = 6.2\) meters, \( h=25\) meters and \( \pi = 3.14\).
So, \( V=3.14\times(6.2)^{2}\times25\).
First, calculate \( (6.2)^{2}=6.2\times6.2 = 38.44\).
Then, \( V=3.14\times38.44\times25\).
\(3.14\times38.44 = 120.7016\).
Now, \( V=120.7016\times25\).
\(120.7016\times25=(120 + 0.7016)\times25=120\times25+0.7016\times25=3000+17.54 = 3017.54\).

Answer:

\(3017.5\)