A 10-by-5 inch piece of paper is used to form the lateral surface of a cylinder. If the entire piece of paper is used to make the lateral surface, which of the following must be true of the two possible cylinders that can be formed? Choose one
A) The volume of the cylinder with height 10 is 50/pi cubic inches greater than the volume of the cylinder with height 6.  B) The volume of the cylinder with height 5 is 50/pi cubic inches greater than the volume of the cylinder with height 10.  C) The volume of the cylinder with height 10 is 50pi cubic inches greater than the volume of the cylinder with height 6.  D) The volume of the cylinder with height 5 is 50pi cubic inches greater than the volume of the cylinder with height 10.  E) The volume of the cylinder with height 5 is 250/pi cubic inches greater than the volume of the cylinder with height 10.
Pretty straightforward. Plug in the values to compute the volume of the cylinder. Keep in mind 5 and 10 are the circumference of the base and not the radius. The volume of the cylinder with height 5 is 50/pi cubic inches greater than the volume of the cylinder with height 10. is the right answer.
<result>B</result>
A 10-by-5 inch piece of paper is used to form the lateral surface of a cylinder. If the entire piece of paper is used to make the lateral surface, which of the following must be true of the two possible cylinders that can be formed?