A silo is composed of a hemishpere and a cylinder. The total height of the silo is 20 meters and the diamtere of the silo is 8 meters. What is the volume of the silo to the nearest cubic meter?
The Diameter of the sphere is 8 meters so its radius is 4 meters.
So the height of the cylinder is 16meters
So the total volume is
Volume of the cylinder + 1/2 Volume of the sphere
$\displaystyle V=\pi(4m)^2(16m)+\frac{1}{2}\cdot \frac{4}{3}\pi(4m)^3$
$\displaystyle V=64\pi(m)^3+\frac{128\pi}{3}m^3=\frac{320\pi}{3}m ^3$