The transportation division is building a cone-shaped container to store salt and sand. The container will have a diameter of 50 feet and is 60 feet high. What is the maximum amount of sand and salt the container can hold? (Approximate pi with 3.14.)

Respuesta :

Given:
Diameter, d = 50 ft
Height, h = 60 ft
π = 3.14

The radius is 50/2 = 25 ft.
Calculate the base area of the cone
A = π*(25 ft)² = 3.14*625 ft² = 1962.5 ft²

Calculate the volume of the cone
V = (1/3)*A*h
    = (1/3)*(1962.5 ft²)*(60 ft)
    = 39,250 ft³

Answer:  39,250 ft³