Question

A toy is in the shape of a cone mounted on a hemisphere of comman base of diameter 7 cm if the total height of the toy 15.5 cm find TSA of the toy

Answer 1

Diameter=7

RADIUS=7/2=3.5

TSA=CSA of hemisphere+CSA of cone

CSA of hemisphere=2 πr^2

                                 =2x22/7x(3.5)^2

                                 =2X22/7X3.5X3.5

                                 =2X22X0.5X3.5    

                                 =77CM^2

CSA of cone=  πrl

radius=3.5

height=15.5-3.5

         =12

slant height(l)

l=√12^2+3.5^2

l=12.5

CSA of cone=π rl

                      =22/7x3.5x12.5

                       =22x0.5x12.5

                       =137.5cm^2

TSA=CSA of hemisphere+CSA of cone

       =77+137.5

       =214.5cm^2

hope it will be helpful