irisr7475
irisr7475 irisr7475
  • 14-07-2022
  • Mathematics
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Geometry
Exact volume

Geometry Exact volume class=

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Medunno13
Medunno13 Medunno13
  • 25-07-2022

Answer:

  • Exact volume: [tex]\frac{30184\pi}{3}[/tex]
  • Approximate volume: 31608.6

Step-by-step explanation:

The volume of the cylinder is [tex](\pi)(14^{2})(42)=8232\pi[/tex].

The volume of the hemisphere is [tex]\frac{2}{3}(\pi)(14^{3})=\frac{5488}{3}\pi[/tex].

Adding these together gives the exact volume to be [tex]\frac{30184\pi}{3}[/tex].

To the nearest tenth, this is 31608.6 square feet.

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