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What is the radius of a sphere with a volume of 47270 cm°, to the nearest tenth of a

centimeter?

2 Answers

1 vote

Answer: 22.4

Step-by-step explanation: 47270(4/3​​π)r^3

47270=(4.1887902)r^3

47270/4.1887902=(4.1887902)r^3/4.1887902\

11284.8812399=r^3

22.4=r

User Nucatus
by
7.0k points
2 votes

Answer:

22.4 cm

Explanation:

You want the radius of a sphere with a volume of 47270 cm³.

Volume

The volume of a sphere is given by the formula ...

V = 4/3πr³

Radius

Solving the formula for r, we get ...

3V/(4π) = r³

r = ∛(3V/(4π)) = ∛(3·47270/(4π)) ≈ 22.4 . . . . cm

The radius of the sphere is about 22.4 cm.

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User Batwad
by
8.2k points