A brewpub is brewing beer in a large cylindrical container with radius 6 meters. Beer is being removed from the container at a rate of 15 cubic meters per hour. Find the rate at which the height of beer in the container is changing. The volume of a cylinder is given by Upper V equals pi r squared h, where r is the radius and h is the height of the cylinder.

An important dimensionless parameter concerned with very high-speed flow is the mach number, defined as v/c, where v is the speed of the object such as an airplane or projectile, and c is the speed of sound in the fluid surrounding the object. for a projectile traveling at 1170 mph through air at 50 ˚f and standard atmospheric pressure, what is the value of the mach number?