Respuesta :

mbh292
The formula for the volume of a sphere is:
[tex] \frac{4\pi {r}^{3} }{3} [/tex]
The question gave us the diameter so we can find the radius right away:
[tex]24 \div 2 = 12[/tex]
Plug the radius in to the formula:
[tex] \frac{4\pi {12}^{3} }{3} = \frac{4 \times 1728\pi}{3} = \frac{6912\pi}{3} = 2304\pi[/tex]
The answer is 2304π.

[tex] \boxed {\text{Diameter = Radius} \div 2 } [/tex]

Radius = 24 ÷ 2 = 12 cm

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

[tex] \text {Volume = } \dfrac{4}{3} \pi (12)^3 = \dfrac{4}{3} \pi (1728) = 7238.23 \text{ cm}^3 [/tex]

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Answer: 7238.23 cm³