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

Question

aliina [53]

1 year 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] · Answer 1 · 2023-03-26T12:27:32+03:00

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

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