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.
The volume of the cone is given by ...
V = 1/3πr²h
V = 1/3(3.14159)(8 cm)²(13 cm) ≈ 871.2676 cm³
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.