A gum ball has a radius that is 30mm. The radius of the gumballs spherical hollow core is 28mm. What is the volume of the gum ball if you do not include it's hollow core

Respuesta :

Answer:

V = 21145.01 mm³

Step-by-step explanation:

Given that:

The radius of the gumball = 30  mm

The radius of the spherical hollow-core = 28 mm

Consider the radius of the gumball to be [tex]r_2[/tex] and the radius of the spherical hollow-core to be [tex]r_1[/tex]. Then;

The volume of the gumball can be determined by using the formula of a sphere.

[tex]V = \dfrac{4}{3}\pi (r_2^3 - r_1^3)[/tex]

[tex]V = \dfrac{4}{3} \times \pi \times (30^3 - 28^3)[/tex]

V = 21145.01 mm³

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