contestada

A special stainless-steel cone sits on top of a cable television antenna. The cost of the stainless steel is $6.00 per cm³. The cone has a radius of 8 cm and a height of 13 cm. What is the cost of the stainless steel needed to make this solid steel cone? Use round to the nearest cent 3.14159 and round to the nearest cent.

Respuesta :

sqdancefan

Answer:

  $5227.61

Step-by-step explanation:

You want the cost at $6 per cm³ of a solid cone of radius 8 cm and height 13 cm.

Volume

The volume of the cone is given by ...

  V = 1/3πr²h

  V = 1/3(3.14159)(8 cm)²(13 cm) ≈ 871.2676 cm³

Cost

The cost of each cubic cm is $6, so we find the cost by multiplying that factor by the number of cm³:

  cost = ($6/cm³) × (871.2676 cm³) ≈ $5227.61

The cost of the material needed to make the cone is $5227.61.

Ver imagen sqdancefan