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The circumference in inches of the 25.0 pound solid steel cannon ball is 17.46 in

What is density?

The density of a substance is simply defined as the mass of the subtance per unit volume of the substance. Mathematically, it can be expressed as

Density = mass / volume

How to determine the volume of the ball

  • Mass = 25 pound = 25 × 0.453592 = 11.3398 Kg
  • Density = 7.7×10³ Kg/m³
  • Volume =?

The volume of the ball can be obtained as follow:

Density = mass / volume

Volume = mass / density

Volume = 11.3398 / 7.7×10³

Volume = 0.00147 m³

Multiply by 61023.7 to express in in³

Volume = 0.00147 × 61023.7

Volume = 89.70 in³

How to determine the radius of the ball

We shall use the formula for calculating the the volume of a sphere to determine the radius of the ball. Details below:

  • Volume = 89.70 in³
  • Pi (π) = 3.14
  • Radius (r) = ?

V = 4/3πr³

89.70 = 4/3 × 3.14 × r³

89.70 = 4.187 × r³

Divide both sides by 4.187

r³ = 89.70 / 4.187

Take the cube root if both sides

r = ³√(89.70 / 4.187)

Radius = 2.78 in

How to determine the circumference of the ball

  • Radius = 2.78 in
  • Pi (π) = 3.14
  • Circumference of ball (C) =?

C = 2πr

C = 2 × 3.14 × 2.78

Circumference of ball = 17.46 in

Learn more about density:

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