I need help find the volume of the composite solid use 3.14 for pi

Mathematics

1 answer:

Evgen [1.6K]2 years ago

5 0

Answer:

$222.312\:\mathrm{in^3}$

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: $\frac{1}{3}\cdot 2^2\cdot 3.14\cdot 8.1 =33.912$

Volume of the cylinder: $2^2\cdot 3.14 \cdot 15=188.4$

Thus, the total volume of the solid is:

$33.912+188.4=\boxed{222.312\:\mathrm{in^3}}$

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