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A restaurant is changing how they make their ice cubes but they want them to be the
same width and height. the original ice cubes were cubes now they will make them
as spheres and they wonder if they will use less water or more water. if the original
ice cube had a side length of 3 cm, and the new sphere ice ball has to have the same
width, what is the volume of the new sphere ice ball?
how much water do they save? (find the volume of both)

Respuesta :

The volume of water that the restaurant saves is; 12.87 cm³

How to find the Volume of a Sphere?

Volume of a cube = x³

where x is side length

Thus;

Volume of Ice cube with a side length of 3 cm is;

V_ice cube = 3³ = 27 cm³

Side length is now halved and so;

New side length = 3/2 = 1.5 cm

Thus;

New Sphere volume = ⁴/₃πr³

New Sphere volume = ⁴/₃π * 1.5³

New Sphere volume = 14.13 cm³

Thus;

Amount of water saved = 27 - 14.13 = 12.87 cm³

Read more about Volume of a Sphere at; https://brainly.com/question/10171109

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