Question

Diem is using a cylinder shape container to hold 42 in³ of liquid. The height of the container is 3 inches tall.

Answer 1

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 = $\pi r^2h$

Substituting the given values in the above formula to get:

$42=\pi \times r^2 \times 3$

$r^2 = \frac{42}{\pi \times 3 }$

$\sqrt{r^2} = \sqrt{4.46}$

r = 2.1 inches