Question

Beatrice is using a cylinder shape container to hold 52 in³ of liquid. The height of the container is 4 inches tall. What is the best approximation for the radius of the container?

Answer 1

Answer:

The best approximation for the radius of the container is 2 inches .

Step-by-step explanation:

Formula

$Volume\ of\ a\ cylinder = \pi r^{2}\ h$

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 .

$\pi = 3.14$

Put all the values in the formula

52 = 3.14 × r² × 4

52 = 12.56 × r²

$r^{2} = \frac{52}{12.56}$

r² = 4.14012739

$r = \sqrt{4.14012739}$

r = 2.0347303

r = 2 inches (Approx)

Therefore the best approximation for the radius of the container is 2 inches .

Answer 2

Cylinder Volume = PI * radius ^2 * height

52 = PI * radius ^2 * 4

radius ^2 = 52 / (PI * 4)

radius ^2 = 52 / 12.5663706144

radius ^ 2 = 4.1380285204

radius = 2.0342144726

OR a good approximation of the radius is 2 inches