Question

a grain silo is built from two right circular cone and a right circular cylinder with internal measurements represented by the figure below of the following which is closest to the volume of the grain silo in cubic

Answer 1

we have:

volume circular cone:

$\begin{gathered} V=\frac{1}{3}\pi\cdot r^2\cdot h \\ V=\frac{1}{3}\pi\cdot5^2\cdot5 \\ V=\frac{1}{3}\pi\cdot25\cdot5 \\ V=\frac{125\pi}{3} \\ V=130.9 \end{gathered}$

volume circular cylinder:

$\begin{gathered} V=\pi\cdot r^2\cdot h \\ V=\pi\cdot5^2\cdot10 \\ V=\pi\cdot25\cdot10 \\ V=250\pi \\ V=785.4 \end{gathered}$

therefore volume of silo is:

$V=2\cdot130.9+785.4=261.8+785.3=1047.2$

answer: 1047.2 ft2