Acone-shaped building has a height of 11.4 meters and a base with a diameter of 12 meters. the building will be filled with road salt that costs $20 per cubic meter. how much will it cost to fill the building with road salt? use 3.14 for π

The cost to fill the building with road salt is $ 8591.04

Solution:

Given that, A cone-shaped building has a height of 11.4 meters and a base with a diameter of 12 meters

Therefore,

Height = 11.4 meters

diameter = 12 meters

radius = 6 meters

Let us first find the volume of cone

The volume of cone is given as:

Where, "V" is the volume of cone

"h" and "r" are height and radius of cone

Substituting the given values, we get

Thus volume of cone is 429.552 cubic meters

The building will be filled with road salt that costs $20 per cubic meter

1 cubic meter = $ 20

Therefore, for 429.552 cubic meters, we get,

Thus cost to fill the building with road salt is $ 8591.04

50.6

step-by-step explanation: