Question

Diana wants to make several cans with a diameter of 6 inches and a height of 8 inches she is going to cut the cans from the sheet of metal that has an area of 2675 in.² how many cans can she make

Answer 1

Hi there !!

Diameter = 6 inches


Radius = r  = 3 inches 

Height = h = 8 inches 

Sheet required to make 1 can = T.S.A of the cylindrical can = 2πr(r+h)
                             
                       = 2 × 22/7 × 3 (3+8)
 
                      =  2 × 22/7 × 3 × 11
                      
                      = 207 .42 in² [ approx.]

Total metal sheet available = 2675 in ²

No: of can that can be made  = Total metal sheet available ÷ T.S.A of 1 can
   
                           = 2675  ÷  207 .42
  
                           = 12.89 [approx,]
                
                          = 13 cans