Question

Craig is designing a new cylinder-shaped can for a pet food company. He wants the height of the can to be 40 mm and the radius of the can to be 1 3/8 times the height of the can. He models the can on a coordinate grid as a rectangle in the first quadrant that will be rotated around the y-axis to create the 3-dimensional can. What will be the diameter of the can?

Answer 1

The height of the can for this case is given by:
 h = 40 mm
 The radius of the can is given by:
 r = (1 3/8) * h
 Substituting values:
 r = (1 3/8) * 40
 r = 55 mm
 Therefore, the diameter of the can is:
 d = 2 * r
 d = 2 * 55
 d = 110 mm
 Answer:
 The diameter of the can will be:
 d = 110 mm