20 February, 18:59

# 5. A model of Earth is located 7600 meters from the Globe Arena in Sweden's solar system model. The volume of the model is approximately 3052.08 cubic centimeters. What is the length of the radius of theEarth model?Solve each problem. Use 3.14 for p.

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1. 20 February, 19:26
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the length of the radius of the Earth Model = 9cm

Step-by-step explanation:

The volume of the model of Earth is approximately 3052.08 cubic centimeters.

It has been discovered that the Earth is spherical in shape, hence this model is spherical as well.

The formula for the Volume of a Sphere = 4/3 πr³

The Volume of the Earth Model = 3052.08 cm³

We are told to use π = 3.14

To find the length of the radius, we have derive the formula

V = 4/3 * π * r³

V = 4πr³/3

Cross multiply

3V = 4πr³

Divide both side by 4π

3V/4π = r³

We find the cube root of both sides =

∛ (3V/4π) = r

Substituting our given values in the question, we have:

∛ (3 * 3052.08 / 4 * 3.14) = r

r = ∛9156.24:12.56

r = ∛729

r = 9cm

Therefore, the length of the radius of the Earth Model = 9cm