The water of the cylinder cannot fill the container, since the cylinder has less volume. Lastly, there is no apparent mistakes.
How to determine if two volumes are equivalent?
The rectangular container ([tex]V_{R}[/tex]), in cubic inches, is full whether its volume is equal to the volume of the cylinder ([tex]V_{C}[/tex]), in cubic inches. The volume formulae for both containers are described below:
Rectangular container
[tex]V_{R} = w\cdot l \cdot h[/tex] (1)
Where:
- [tex]w[/tex] - Width, in inches
- [tex]l[/tex] - Length, in inches
- [tex]h[/tex] - Height, in inches
Cylinder
[tex]V_{C} = \pi\cdot r^{2}\cdot h[/tex] (2)
Where:
- [tex]r[/tex] - Radius, in inches
- [tex]h[/tex] - Height, in inches
Now we proceed to determine the volume of each figure:
Rectangular container (w = 3.6 in, l = 3.6 in, h = 5.3 in)
[tex]V_{R} = (3.6\,in)\cdot (3.6\,in)\cdot (5.3\,in)[/tex]
[tex]V_{R} = 68.688\,in^{3}[/tex]
Cylinder (r = 1.8 in, h = 5.3 in)
[tex]V_{C} = \pi\cdot (1.8\,in)^{2}\cdot (5.3\,in)[/tex]
[tex]V_{C} \approx 53.947\,in^{3}[/tex]
The volume of the water in the cylinder is approximately 53.947 cubic inches. The water of the cylinder cannot fill the container, since the cylinder has less volume. Lastly, there is no apparent mistakes. [tex]\blacksquare[/tex]
To learn more on volumes, we kindly invite to check this verified question: https://brainly.com/question/1578538
