Krishna
0

Step 1: Make a suitable figure for the given information.

            


Step 2: Note down the given data

              The diameter of the base = 6 cm

                                          Radius r = \frac{6}{2} = 3 cm

                                          Height h = 4 cm

            

Step 3: Set up a formula for the surface area of the toy.

         Surface area of the toy = surface area of the cone + surface area of hemisphere

            Surface area of the cone = \pi r l

                                  r = radius,

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

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

                                                              = \sqrt{25}

                                                              = 5 cm


            Surface area of hemisphere = 2 \pi r^2

                                                          

Step 2: Do the calculations

                Surface area of the toy = \pi r l + 2 \pi r^2


                                                     = [math]\pi r[l+2r][/math]


                                                     = [math] 3.14 * 3[ 5 + 2 * 3] [/math]


                                                    = 3.14 * 33


                                                    = 103.62 cm^2