Respuesta :
It takes $4926.46 to fill the silo with oats, if the silo is 12 meters tall, and its base has a radius of 2 meters. Oats cost $98 per cubic meter.
Step-by-step explanation:
The given is,
A silo is in the shape of a cone
Height of silo - 12 meters
Base radius of silo - 2 meters
Cost of silo - $98 per cubic meters
Step: 1
Formula to calculate the volume of cone,
[tex]V = \frac{1}{3} \pi r^{2}h[/tex].....................(1)
Where, r - Radius of cone
h - Height of cone
Step: 2
From the given data,
r = 2 meters
h = 12 meters
Equation (1) becomes,
[tex]V = \frac{1}{3} \pi (2)^{2}(12)[/tex]
= (0.33333)(3.1415)(4)(12)
= 50.27 cubic meters
Step: 3
Cost of oats to fill silo = Volume of silo × Oats cost per cubic meters
= 50.27 × 98
= $4926.46
Result:
It takes $4926.46 to fill the silo with oats, if the silo is 12 meters tall, and its base has a radius of 2 meters. Oats cost $98 per cubic meter.
