 Mathematics
28 November, 21:39

# Billy's exercise ball contains 0.523 m3 of air. What is the radius of the exercise ball? Use 3.14 for π and round your answer to the nearest tenth of a meter.

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Answers (1)
1. 28 November, 21:54
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The radius of exercise ball is 0.5m.

Step-by-step explanation:

As in general, ball is a sphere. The formula of volume of sphere is, V = 4/3*π*r³ and it is given that the volume of sphere is 0.523m³. Then, you can just substitue the value into the formula:

V = 0.523m³

V = 4/3*π*r³

0.523 = 4/3*π*r³

Next, is to make r as a subject by dividing 4/3 and π:

0.523 = 4/3*π*r³

π*r³ = 0.523: (4/3)

π*r³ = 0.39225

r³ = 0.39225/π

Now, you can solev it to find the value of r:

r³ = 0.39225/π

r = ∛ (0.39225/π)

= 0.5m (near. tenth)

CHECKING:

r = 0.5m

V = 4/3*π*0.4998³ (in working, must give value in more than 3s. f for accurate answer)

= 0.523m³ (3s. f) (shown in the question)
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