Triangle abc has been dilated to form triangle a'b'c'. if sides ab and a'b' are proportional, what is the least amount of additional information needed to determine if the two triangles are similar? angles b and b' are congruent, and angles c and c' are congruent. segments ac and a'c' are congruent, and segments bc and b'c' are congruent. angle c=c', angle b=b', and segments bc and b'c' are congruent. segment bc=b'c', segment ac=a'c', and angles b and b' are congruent.

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)