ashleed14 ashleed14
  • 14-04-2022
  • Mathematics
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What is the volume of a hemisphere with a diameter of 56.7 in, rounded to the nearest tenth of a cubic inch?

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GeorgePP
GeorgePP GeorgePP
  • 14-04-2022

Answer: [tex]V=47,721.9in^3[/tex]

Step-by-step explanation:

The volume of a hemisphere would be 1/2 of the volume of a sphere. The volume of a sphere is defined to be:

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

Therefore the volume of a hemisphere would be:

[tex]V=\frac{1}{2}( \frac{4}{3} \pi r^3)=\frac{2}{3} \pi r^3[/tex]

Plug everything in:

[tex]V=\frac{2}{3} \pi r^3=\frac{2}{3} \pi (28.35)^3=47,721.9in^3[/tex]

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