Answer:
[tex]226.19\text{ cm}^3[/tex]
Explanation:
Here, we want to calculate the volume of the composite solid
Mathematically, that is the volume of the cylinder added to that of the cone
The volume of a cylinder is:
[tex]V_\text{ = }\pi r^2h[/tex]
where r is the radius which is 3cm and h is the height which is (10 cm - 3cm = 7 cm)
The volume of a cone is:
[tex]V\text{ = }\frac{1}{3}\pi r^2h[/tex]
where r is the base radius of the cone which is 3 cm and h is the height which is 3 cm
Substituting the values, we have it that:
[tex]\begin{gathered} V\text{ = }\pi r^2h\text{ + }\frac{1}{3}(\pi r^2h) \\ \end{gathered}[/tex]
Substituting the values, we have:
[tex]\begin{gathered} V\text{ = \lparen}\pi\times3^2\times7)\text{ +}(\frac{1}{3}\times\pi\times3^2\times3) \\ \\ V\text{ = 197.92 cm}^3\text{ +}28.27\text{ cm}^3\text{ = 226.19 cm}^3 \end{gathered}[/tex]
