A silo composed of a cylinder topped by a half-sphere. The height of the cylinder is 6.2 meters and the radius of both the cylin
der and the half-sphere is 1.6 meters. Use 3.14 for pi. Find the volumes of the half-sphere, the cylinder, and the entire silo to the nearest tenth. Explain how you found the volume of the silo.
To be able to determine the volume of the entire silo, we can divide the silo into parts where we can easily calculate the volume of the parts. In this case, we divide it into a cylinder and a hemisphere. We calculate the individual volumes of these shapes and add up to represent the whole silo. We do as follows:
Volume of cylinder = πr^2h Volume of cylinder = π( 1.6 )^2 (6.2) Volume of cylinder = 49.86 m^3
Volume of hemisphere = 2πr^3/3 Volume of hemisphere = 2π(1.6)^3/3 Volume of hemisphere = 8.58 m^3
Volume of the whole silo = 49.86 m^3 + 8.58 m^3 = 58.44 m^3
