The relationship for density is the ratio between mass and volume. The formula for density is:
[tex]d=\frac{m}{v}[/tex]Therefore, we first need to find the volume of the cone. The formula to find the volume of a cone is:
[tex]v=\pi r^2\frac{h}{3}[/tex]The h stands for the height of the cone and the r stands for the radius of the cone. We can input the values we have already to find the measurement of volume for the cone.
[tex]v=\pi(25)^2\frac{100}{3}[/tex][tex]v=\frac{62500\pi}{3}\approx65450\operatorname{cm}^3[/tex]The volume of the cone is 65450 cubic centimeters.
Now, we use the formula for density and create the ratio.
