Mr. johnson completes a survey on the number of hours he spends weekly watching different types of television
programs. he determines that he spends 30 hours a week watching programs of the following types: comedy,
drama, movies, competition, and sports. he spends half as much time watching competition shows as he does
watching dramas. his time watching sports is double his time watching dramas. he spends an equal amount of time
watching comedies and movies. the total amount of time he spends watching comedies and movies is the same as
the total amount of time he spends watching dramas and competition shows.
write and solve a system of equations to determine how many hours mr. johnson watches each type of
programming each week.

For every corresponding pair of cross sections, the area of the cross section of a sphere with radius r is equal to the area of the cross section of a cylinder with radius and height 2r minus the volume of two cones, each with a radius and height of r. a cross section of the sphere is and a cross section of the cylinder minus the cones, taken parallel to the base of cylinder, is the volume of the cylinder with radius r and height 2r is and the volume of each cone with radius r and height r is 1/3 pie r^3. so the volume of the cylinder minus the two cones is therefore, the volume of the cylinder is 4/3pie r^3 by cavalieri's principle. (fill in options are: r/2- r- 2r- an annulus- a circle -1/3pier^3- 2/3pier^3- 4/3pier^3- 5/3pier^3- 2pier^3- 4pier^3)