Question

How much grain can this container hold? Use 3.14 to approximate .round your answer to the nearest hundredth

Answer 1

Explanation:

The figure for the container is shown below. Remember that the volume of a cone is given by:

$V=\frac{1}{3}\pi r^2 h \\ \\ \\ Where: \\ \\ r:Radius \\ \\ height$

From the figure:

$Diameter=3in \\ \\ \\ So: \\ \\ r=3/2=1.5in \\ \\ \\ And: \\ \\ h=7in$

Therefore:

$V=\frac{1}{3}\pi r^2 h \\ \\ \ V=\frac{1}{3}\pi (1.5)^2 (7) \\ \\ V=\frac{21}{4}\pi \\ \\ \boxed{V\approx 16.49 \ in^3}$