A special stainless steel cone sits on top of a cable television antenna. The cost of the stainless steel is $3.00 per cubic centimeter. The cone has radius 9 cm and height 10 cm. What is the cost of the stainless steel needed to make this solid steel cone? Use 3.14 for pi.

The cost to make this steel cone is $2,543.40.

Step-by-step explanation:

Step 1:

The volume of a cone is determined by multiplying with π, the square of the radius (r²) and height (h). Here we substitute π as 3.14.

The radius of the cone is 9 cm and the height is 10 cm.

The volume of the cone,

So the volume of the cone is 847.8 cubic cm.

Step 2:

If 1 cubic cm costs $3.00, the cost of the given cone is the volume multiplied by the unit cost.

The cost to make the steel cone

The cost to make this steel cone is $2,543.40.

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