WaleK747978 WaleK747978
  • 25-10-2022
  • Mathematics
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the volume of the sphere is approximately ___ cubic meters. use pi = 3.14 and round your answer to the nearest hundredth.

the volume of the sphere is approximately cubic meters use pi 314 and round your answer to the nearest hundredth class=

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HimanshD304281 HimanshD304281
  • 25-10-2022

We have a sphere with diameter D = 17 m.

The equation for the volume of a sphere is:

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

Approximating pi with 3.14 and r=D/2, we have:

[tex]\begin{gathered} V=\frac{4\pi}{3}r^3=\frac{4\pi}{3}(\frac{D}{2})^3 \\ V\approx\frac{4\cdot3.14}{3}\cdot(\frac{17}{2})^3 \\ V\approx4.19\cdot8.5^3 \\ V\approx4.19\cdot614.125 \\ V\approx2573.18^{} \end{gathered}[/tex]

Answer: the volume of the sphere is approximately 2573.18 cubic meters.

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