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]
