Question

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

What is the best approximation for the radius of the container?


1.1 in.

2.1 in.

3.5 in.

4.5 in.

Answer 1

The correct answer option is B. 2.1 inches.

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 * r^2 * 3`

`r^2 = (42)/(\pi * 3 )`

`√(r^2) = √(4.46)`

r = 2.1 inches