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Solve each of the following equations for the indicated variable.

  1. The formula gives the volume of a cone with radius and height . Solve for .

    Multiply both sides by to remove the fraction.

    Divide both sides by .

  2. When an object is in motion, the energy that it has due to its motion is called kinetic energy. The formula gives the kinetic energy of an object with mass and velocity . Solve for .

    Use the same method as part (a).