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

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{ + }(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{ = }(22)/(7)*6^2*\text{ 168 + }(2)/(3)*(22)/(7)*\text{ 6}^5 \\ Volume\text{ = }19008\text{ + 452.5714286} \\ Volume\text{ =19460.571 } \end{gathered}`

Final answer

19461