Answer:
4.36 in
Step-by-step explanation:
To solve this problem we first find the volume of the sphere using the volume formula, after this we set this volume equal to the volume container which is a rectangular prism. After this we simple solve for the height by dividing the volume of the sphere by 12*10 to get the height
So the steps should look like
(4/3)*π*5³=523.599 in³
523.599 in³=12*10*Height
(523.599/(12*10))=4.36 in
The height of the melted wax in the new shape is 4.363 inches if the spherical ball of wax is melted and shaped like a rectangular prism.
It is defined as a three-dimensional space enclosed by an object or thing.
We have a spherical ball of wax with a radius of 5 inches.
The ball of wax is melted and poured into a container shaped like a rectangular prism.
In this scenario the volume of the ball remains same.
Formula for finding the volume of the sphere is given by:
[tex]\rm V = \frac{4}{3} \pi r^3[/tex]
[tex]\rm V = \frac{4}{3} \pi 5^3[/tex]
V = 166.66π cubic inches
Formula for finding the volume of a rectangular prism is given by:
V = l×w×h
Where l is the length, w is the width, and h is the height of the rectangular prism.
166.66π = 12×10×h (l = 12 inches, w = 10 inches, and V = 166.66 inches³)
h = 4.363 inches (π = 3.1415)
Thus, the height of the melted wax in the new shape is 4.363 inches if the spherical ball of wax is melted and shaped like a rectangular prism.
Learn more about the volume here:
https://brainly.com/question/16788902
