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aliina [53]
2 years ago
12

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 1

4 inch x 16 inch base. What is the height of the melted wax in the new shape
Mathematics
1 answer:
avanturin [10]2 years ago
3 0

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

<h3>What is the volume of the spherical ball?</h3>

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 π8³
  • V = 4/3 π 512
  • V= 4/3 x 3.1416 x 512
  • V =2144.66 cubic inches

<h3>What is the height of the new shape?</h3>

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: brainly.com/question/1578538

#SPJ1

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