tlopez4342ow3iwn tlopez4342ow3iwn
  • 25-05-2018
  • Mathematics
contestada

the volume of sphere is 2254 pi m cubed. what is the surface area to nearest tenth?

Respuesta :

gmany
gmany gmany
  • 31-05-2018
[tex]V=2254\pi\ m^3\\\\V=\dfrac{4}{3}\pi r^3\\\\\text{therefore}\\\\\dfrac{4}{3}\pi r^3=2254\pi\ \ \ |:\pi\\\\\dfrac{4}{3}r^3=2254\ \ \ |\cdot\dfrac{3}{4}\\\\r^3=1690.5\to r=\sqrt[3]{1690.5}\to r\approx11.9126\to r\approx11.9[/tex]

[tex]S_A=4\pi r^2\to S_A=4\pi\cdot11.9^2=4\pi\cdot141.61=566.44\pi\approx1778.6\ m^2[/tex]
Answer Link
brejae51
brejae51 brejae51
  • 10-01-2022

Answer:

1,783.3m^2

Step-by-step explanation:

I took the test

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