Respuesta :

Answer:

v = (4/3)(pi)(r^3)

Step-by-step explanation:

Angela should use the formula to find the volume of the sphere:[tex]\bold{V=\frac{4}{3} \times \pi \times (\frac{17}{2} )^{3}}[/tex]

Formula to find the volume of sphere:

For a sphere with radius 'r' the volume of sphere is,

[tex]V=\frac{4}{3} \times \pi \times r^{3}[/tex]

In this question,

the diameter of the sphere is 17 units

Hence, the radius of the sphere is,

⇒ r = 17/2

⇒ r = 8.5 units

For given example, the diameter has been given.

So, the formula of the volume of sphere would be,

[tex]\bold{V=\frac{4}{3} \times \pi \times (\frac{d}{2} )^{3}}[/tex]

The volume of the sphere would be:

⇒ [tex]V=\frac{4}{3} \times \pi \times (8.5)^{3}[/tex]

⇒ [tex]V=2572.44[/tex] cubic unit

Therefore, she should use the formula to find the volume of the sphere:

⇒ [tex]\bold {V=\frac{4}{3} \times \pi \times (\frac{d}{2} )^{3}}[/tex]

⇒ [tex]\bold{V=\frac{4}{3} \times \pi \times (\frac{17}{2} )^{3}}[/tex]

Learn more about volume of sphere here:

https://brainly.com/question/14988219

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