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  • 14-01-2024
  • Mathematics
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Find the volume of the sphere. Round your answer to the nearest hundredth.
32 cm
The volume is about
cubic centimeters.

Find the volume of the sphere Round your answer to the nearest hundredth 32 cm The volume is about cubic centimeters class=

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Arnishuu
Arnishuu Arnishuu
  • 14-01-2024

Answer:

Assuming the 32cm is the diameter, the volume is 17157.28cm³

Step-by-step explanation:

The formula for a sphere is: [tex]\frac{4}{3} \pi r^{3}[/tex]

I assume the length given (32cm) is the diameter, but if it isn't just substitute it into your formula to get the answer!

To find the radius we have to divide the diameter by two, so:

[tex]\frac{32}{2}=16cm[/tex]

To find the volume:

[tex]\frac{4}{3}\pi(16)^{3} \\=\frac{4}{3}\pi(4096)\\\\ =\frac{16384}{3}\pi = 17157.28\ cm^{3}\ (2d.p.)[/tex]

Hope this helps!!!

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