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# Where Can I Get a Traffic Cone?

Look online. Or even at flea markets. But make sure if you put a cone out there, it wo not be considered a crime. 1. If the TSA of a cone and a hemisphere is 858 and the slant height of a cone is 24, what will be its total height?

2. If a cone with a height of 16 cm is carved out of a solid sphere with a radius of 10 cm, what will be the radius of the cone?

The height of the cone would extend beyond the center of the sphere by 6cm and be the center of the base of the cone. Let's call this 6 cm segment AB. At right angles to this segment to the spheres circumstances would be the radius of the cone's base. Let's call this radius BC. Then from the center of the sphere to the point where the cone's radius meet would be at point C. A right triangle ABC would form with one side 6 cm and the hypotenuse, AC, would be the radius of the sphere. These measurements would constitute at 3-4-5 right triangle. AB = 6, BC = 8 & AC = 10. The radius of the cone, BC = 8 cm is the answer to the question. Q. E. D. If a cone with a height of 16 cm is carved out of a solid sphere with a radius of 10 cm, what will be the radius of the cone? 3. Tip of cone \$CA=(Atimes I)/(Atimes 0)\$ is contained in the interior of \$CA\$

\$Atimes ,.5)/ A times 0\$ is open in \$CA\$ by definition of the quotient topology. Since preimage of \$Atimes ,.5)/ A times 0\$ under the quotient map from \$X sqcup CA\$ is itself, this then implies that \$Atimes ,.5)/ A times 0\$ is open in the glued space. This means the tip of the cone is in the interior

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