Mya has an exercise ball in the shape of the sphere shown below.She wants to increase the weight of the ball by filling it with water. Which is closest to the amount of water in cubic inches,that Mya's exercise ball will hold if it is completely full?

Respuesta :

Answer: Volume of a sphere = 4/3 * pi * r^3       r = radius of sphere      pi~ 3.14

Step-by-step explanation: If you use the radius in inches, your result will be in cubic inches (in^3)

The amount of water in cubic inches, that Mya's exercise ball will hold is 904.779 in³.

What is the volume of a sphere?

The volume of a sphere is the volume of space occupied by a sphere.  It is given by the formula:

[tex]\text{Volume of Sphere} = \dfrac{4}{3}\pi r^3[/tex]

As it is given that the diameter of Mya's ball is 12 inches, also we know that the volume of a sphere is given by the formula,

[tex]\text{Volume of Sphere} = \dfrac{4}{3}\pi r^3[/tex]

As we know that the diameter of Mya's ball is 12 inches, therefore, the radius of Mya's ball can be written as,

[tex]\rm Radius = \dfrac{Diameter}{2} = \dfrac{12\ in}{2} = 6\ in.[/tex]

Now, if we substitute the value of the radius of Mya's ball in the formula of the volume of the ball,

[tex]\rm \text{Volume of Ball} = \dfrac{4}{3}\times \pi \times 6^3 = 904.779\ in^3[/tex]

Hence, the amount of water in cubic inches, that Mya's exercise ball will hold is 904.779 in³.

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