Ms. johnson and ms. siple were folding report cards to send home to parents. the
ratio of report cards ms. johnson folded to the number of report cards ms. siple folded
is 2: 3. at the end of the day, ms. johnson and ms. siple folded a total of 300 report
cards. how many did each person fold?

For the equations below which statement is true ?

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)

Based on the diagram above, a student determined the hypotanuse of the triangle to be 6√3. determine if the students answer is correct. if not correct find the correct length