Krishna
0

Step 1: Note down the given measurements

                  NOTE:  Joker's cap in the form of cone

                        Radius = 3 cm

                        Height =  4 cm

                Total Area of sheet = 1000 cm^2


Step 2: Determine the lateral surface area of one cone


              Lateral surface area of cone = \pi r l

                            r - radius

                            l - slant height = \sqrt{r^2 + h^2}            

                                                  l = \sqrt{3^2 + 4^2}

                                                  l = \sqrt{9 + 16}

                                                  l = \sqrt{25}

                                                  l = 5


              Lateral surface area of cone = \pi r l

                                                            = \frac{22}{7} * 3 * 5

                                                            = 3.14 * 15

                                                            = 47.1\ cm^2


Step 4: Calculating the number of caps can be made from given sheet  

                    Required area of sheet to make one joker's cap = 47.1 m^2

              

                      Area of given sheet = 1000 cm^2.

                    So, Number of caps can be made from that sheet =  \frac{1000}{47.1}


                                                                                                  = 21.231

                

                     Thus 21 caps can be manufactured from that paper sheet.