Answer
$346\frac{1}{2}$ $in^3$
Work Step by Step
The formula for the volume of a cone is: $V$ $=$ $π$$r^2$$\frac{h}{3}$
The problem says to use $\frac{22}{7}$ as an approximation for pi.
So, lets fill in the formula with the correct numbers.
$π$ $=$ $\frac{22}{7}$
$r$ $=$ $5$$\frac{1}{4}$
$h$ $=$ $12$
$V$ $=$ $\frac{22}{7}$ $\times$ ($5\frac{1}{4}$)$^2$ $\times$ $\frac{12}{3}$
$V$ $=$ $\frac{22}{7}$ $\times$ $\frac{441}{16}$ $\times$ $4$
$V$ $=$ $346.5$ or $346\frac{1}{2}$
$346\frac{1}{2}$ $in^3$
