Answer:
The correct answer option is B. 2.1 inches.
Step-by-step explanation:
We are given that the cylinder is to hold 42 in³ of liquid while the height of this container is 3 inches tall.
We are to find the best approximation for the radius of this container.
We know that the formula for the volume of a cylinder is given by:
Volume of cylinder = [tex]\pi r^2h[/tex]
Substituting the given values in the above formula to get:
[tex]42=\pi \times r^2 \times 3[/tex]
[tex]r^2 = \frac{42}{\pi \times 3 }[/tex]
[tex]\sqrt{r^2} = \sqrt{4.46}[/tex]
r = 2.1 inches
