holacoma
holacoma holacoma
  • 27-04-2021
  • Mathematics
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The surface area of a sphere is 9\piπ cm2. What is the volume?

Respuesta :

feras119fff
feras119fff feras119fff
  • 27-04-2021

Answer:

[tex] \frac{9}{\pi} = 4 \times \pi \times {r}^{2} \\ {r}^{2} = \frac{9}{4 {\pi}^{2} } \\ r = \frac{3}{2\pi} \\ volume = \frac{4}{3} \times \pi \times {r}^{3} \\ v = \frac{4}{3} \times \pi \times \frac{27}{8 {\pi}^{3} } \\ v = \frac{9}{2 {\pi}^{2} } [/tex]

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