Yourstruly6 Yourstruly6
  • 26-05-2021
  • Mathematics
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I need help find the volume of the composite solid use 3.14 for pi

I need help find the volume of the composite solid use 314 for pi class=

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Corsaquix
Corsaquix Corsaquix
  • 26-05-2021

Answer:

[tex]222.312\:\mathrm{in^3}[/tex]

Step-by-step explanation:

The composite solid consists of a cylinder and a cone. Therefore, its total volume will be the sum of the volumes of the cylinder and cone:

Volume of the cone: [tex]\frac{1}{3}\cdot 2^2\cdot 3.14\cdot 8.1 =33.912[/tex]

Volume of the cylinder: [tex]2^2\cdot 3.14 \cdot 15=188.4[/tex]

Thus, the total volume of the solid is:

[tex]33.912+188.4=\boxed{222.312\:\mathrm{in^3}}[/tex]

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