One member of the lockport high school will be chosen randomly for a trip over spring break. there are 900 students in the high school. there is a probability of 10% that the student chosen is in the band and the choir. if there are 45 members in the choir and 57 members in the band, what is the probability that the randomly-chosen student is in the choir or in the band, but not both? if necessary, round your answer to the nearest hundredth.

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)