Volume of Composite Solid

Consider a composite solid formed by a cylinder and a hemisphere. The cylinder has a radius of 5 cm and a height of 10 cm. Atop this cylinder sits a hemisphere with the same radius of 5 cm. To find the total volume of the composite solid, first calculate the volume of the cylinder using the formula:

$$ V_{cylinder} = ext{Base Area} \times ext{Height} = au r^{2} h $$, where $r$ is the radius and $h$ is the height, and the volume of the hemisphere using:

$$ V_{hemisphere} = \f\frac{2}{3} \pi r^{3} $$.

After calculating the individual volumes, sum them to find the total volume of the composite solid.