Question

A grain silo is shown below:168 ft6 ftWhat is the volume of grain that could completely fill this silo, rounded to the nearest whole number? Use22/7 for pi

Answer 1

Solution

Step 1

$\begin{gathered} \text{The volume of the silo = volume of a cylinder + volume of the } \\ \text{ hemisphere} \\ The\text{ volume of the silo = }\pi r^2h\text{ + }\frac{2}{3}\pi r^3 \end{gathered}$

Step 2

$\begin{gathered} \text{h = 168} \\ \text{r = 6} \end{gathered}$

Step 3

$\begin{gathered} Volume\text{ = }\frac{22}{7}\times6^2\times\text{ 168 + }\frac{2}{3}\times\frac{22}{7}\times\text{ 6}^5 \\ Volume\text{ = }19008\text{ + 452.5714286} \\ Volume\text{ =19460.571 } \end{gathered}$

Final answer

19461