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?
2 answers:
Answer:
The best approximation for the radius of the container is 2 inches .
Step-by-step explanation:
Formula
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 .
Put all the values in the formula
52 = 3.14 × r² × 4
52 = 12.56 × r²
r² = 4.14012739
r = 2.0347303
r = 2 inches (Approx)
Therefore the best approximation for the radius of the container is 2 inches .
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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