Answer:
14 cones
Step-by-step explanation:
First we need to discover the total volume of the wire that we have available to make the cones, so we treat it as a long circular prism, with radios of 1,5 mm and 25,000 milimeters height:
[tex]Volume=\pi r^{2}*h\\Volume=\pi (1.5)^{2} *25,000\\Volume= 176,635 mm^{3}[/tex]
Now we just have to calculate the volume of the cone:
[tex]Volume*cone=\pi r^{2}\frac{h}{3} \\Volume=\pi 20^{2}\frac{30}{3} \\Volume= 12,566 mm^{3}[/tex]
And finally we just have to divide the volume available between the volume necessary for each cone:
176,635/12,566=14.05
