56. Mikayla is filling a glass sphere with water.
If the diameter of the sphere is 12 inches,
what is the minimum amount of water she
needs to completely fill the sphere?​

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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