Respuesta :
Answer:
6cm
Explanation:
The below formula can be used to determine the volume of a cone;
[tex]V=\pi\times r^2\times\frac{h}{3}[/tex]Given V which is the volume of the cone as 602.88cm^3 and the height(h) as 16cm, let's go ahead and solve for radius(r) using the below steps;
Multiply both sides by 3;
[tex]3V=\pi\times r^2\times h[/tex]Divide both sides by the product of pi and h;
[tex]\frac{3V}{\pi h}=r^2[/tex]Take the square root of both sides;
[tex]r=\sqrt[]{\frac{3V}{\pi h}}[/tex]Substitute the given values and solve for r;
[tex]r=\sqrt[]{\frac{3\times602.88}{3.14\times16}}=\sqrt[]{\frac{1808.64}{50.24}}=6\operatorname{cm}[/tex]