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.

Explanation:

Thinking process:

Let the radius = 6 m

The rate of removal of the beer = 15 m³/hr

This can be written as:

the rate or change

this changes to

two charges are fixed in place on the x-axis as shown. the charge at x = 0 is negative and has magnitude q = 2 μcoulombs (1 μcoulomb = 10-6 coulombs). the charge at x = d, (d = +12 cm), is positive and has magnitude q = 4 μcoulombs. find a point x = xo along the x-axis at which the electric field is zero.

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