Respuesta :
Answer:
The minimum amount of water to fill the sphere is [tex]904.32\ in^{3}[/tex]
Step-by-step explanation:
we know that
The volume of the sphere (glass sphere) is equal to
[tex]V=\frac{4}{3}\pi r^{3}[/tex]
we have
[tex]r=12/2=6\ in[/tex] ----> the radius is half the diameter
assume
[tex]\pi =3.14[/tex]
substitute
[tex]V=\frac{4}{3}(3.14)(6)^{3}[/tex]
[tex]V=904.32\ in^{3}[/tex]
The minimum amount of water she needs to completely fill the sphere is; 904.32 inches³
How to find the Volume of a Sphere?
The formula for Volume of a Sphere is given as;
V = ⁴/₃πr³
We are given;
Diameter; d = 12 inches
Thus;
Radius; r = 12/2 = 6
To get the minimum amount of water she needs to completely fill the sphere, we just plug in the relevant values into the volume equation to get;
V = ⁴/₃π(6)³
V = 904.32 inches³
Read more about Sphere Volume at; https://brainly.com/question/10171109
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