Answer: [tex]h\approx13[/tex]
Step-by-step explanation:
For this exercise you need o use the following formula for calculate the volume of a cone. This is:
[tex]V=\frac{1}{3}\pi r^2 h[/tex]
Where "r" is the radius and "h" is the height of the cone.
In this case you can identify that:
[tex]V= 218 cm^3\\\\r=4\ cm\\\\\pi =3.14[/tex]
Now you must substitute these values into the formula:
[tex]218\ cm^3=\frac{1}{3}(3.14) (4\ cm)^2 h\\\\218\ cm^3=(16.746\ cm^2) h\\\\\frac{218\ cm^3}{16.746\ cm^2}\\\\h\approx13\ cm[/tex]
