Answer :
Answer:
We can fill the cone 54 times with the grain.
Step-by-step explanation:
Amount of grain = 8138.88 cm³
Dimensions of cone:
Radius = 4 cm
Height = 9 cm
Volume of 1 cone =
[tex]V = \displaystyle\frac{1}{3}\pi r^2 h\\\\V = \frac{1}{3}(3.14)(4)^2(9)\\\\V = 150.72\text{ cubic cm}[/tex]
Let n be the number of times the cone that can be filled.
Thus, we can write:
[tex]\text{Amount of grain} = n \times \text{Volume of cone}\\8138.88 = n \times 150.72\\\\n = \dfrac{8138.88}{150.72}\\\\n = 54[/tex]
Thus, we can fill the cone 54 times with the grain.