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kari74 [83]
2 years ago
7

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?
Mathematics
2 answers:
jarptica [38.1K]2 years ago
8 0

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 .

asambeis [7]2 years ago
4 0

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





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