Answer:
The best approximation for the radius of the container is 2 inches .
Step-by-step explanation:
Formula
[tex]Volume\ of\ a\ cylinder = \pi r^{2}\ h[/tex]
Where r is the radius and h is the height of a cylinder .
As given
Beatrice is using a cylinder shape container to hold 52 in³ of liquid.
The height of the container is 4 inches tall .
[tex]\pi = 3.14[/tex]
Put all the values in the formula
52 = 3.14 × r² × 4
52 = 12.56 × r²
[tex]r^{2} = \frac{52}{12.56}[/tex]
r² = 4.14012739
[tex]r = \sqrt{4.14012739}[/tex]
r = 2.0347303
r = 2 inches (Approx)
Therefore the best approximation for the radius of the container is 2 inches .
