Question

A toy ball can be modeled as a sphere. Moussa measures its circumference as 56.3 cm. Find the ball’s volume in cubic centimeters. Round your answer to the nearest tenth if necessary.

Answer 1

3013.5 cm³

Explanation:

Given a ball with a circumference of 56.3 cm, you want to know its volume.

Radius

The formula for circumference is ...

C = 2πr

Solving for radius, we get ...

r = C/(2π) = 56.3 cm/(2π) ≈ 8.96042 cm

Volume

The volume of a sphere is given by ...

V = 4/3πr³

V = 4/3π(8.96042 cm)³ ≈ 3013.5 cm³

The ball's volume is about 3013.5 cubic centimeters.

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Additional comment

Alternatively, we could use the formula ...

V = C³/(6π²)

to get the same result.

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