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A spherical ball of wax with a radius of 8 inches is melted and poured into a container shaped like a rectangular prism with a 14 inch x 16 inch base. What is the height of the melted wax in the new shape

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michell96

It is expected the height of the melted wax in this shape is 9.57 inches, this height would make the volume remain constant.

What is the volume of the spherical ball?

The volume of a sphere can be calculated using the formula V = 4/3 πr³. Let's use this formula to calculate the volume of the spherical ball of wax:

  • V = 4/3 Ï€8³
  • V = 4/3 Ï€ 512
  • V= 4/3 x 3.1416 x 512
  • V =2144.66 cubic inches

What is the height of the new shape?

Considering the volume should be the same  (2144.66 cubic inches) and the volume of this shape can be calculated by multiplying the sides, this would be the equation:

  • 2144.66 = 14 x 16 x y ( unknown value)
  • y= 2144.66 / 14 x 16
  • y = 9.57

This means the height would be 9.57 inches.

Learn more about volume in: https://brainly.com/question/1578538

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