melanyjuarezordonez7 melanyjuarezordonez7
  • 06-12-2021
  • Mathematics
contestada

a sphere has a volume of 2,304 pi mm3. find the diameter of the sphere

Respuesta :

Audreysofsmithh
Audreysofsmithh Audreysofsmithh
  • 06-12-2021

Answer:

24

the formula of sphere is

[tex]v = \frac{4}{3} {r}^{3} [/tex]

Since we know the volume, and have to find the diameter (twice the radius), we need to determine the radius first.

Hence, using the given data:

[tex]2304\pi = \frac{4}{3} \pi {r}^{3} [/tex]

We can cancel

We can cancel π from each side.

[tex]2304 = \frac{4}{3} {r}^{3} [/tex]

Multiply both sides by

[tex] \frac{3}{4} [/tex]

hope I help you ☺️❤️

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