Question

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.

Answer 1

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 $\frac{1}{3}$ 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, $V= \frac{\pi r^{2} h }{3} = \frac{(3.14)( 9^{2}) (10) }{3} = 847.8.$

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 $= 3.00 (847.8) = 2,543.4.$

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