πd*3 = 32
the area is 32*12 = 36πd
clearly the cylinder's lateral area is 1/3 of the rectangle. Add on πd^2/2 to get the total area.
A cylinder is rolled three complete revolutions to create a rectangular shape 32 inches long and 12 inches wide. Write an expression for the area of the rectangle in terms of the diameter of the cylinder. Show how you could use this expression to find a formula for the surface area of the cylinder
1 answer