Question

A solid wooden toy in the shape
of a right circular cone mounted
on a hemisphere. if the radius
of hemisphere is 5.6ccm and
height of toy is is 15.6cm. Find The
volume of wooden toy.​

Answer 1

Answer:

volume of the wooden toy= 696.48 cm³

Step-by-step explanation:

(DIAGRAM IS IN ATTACHMENT)

volume of the wooden toy=volume of right    + volume of hemisphere

                                                  circular cone

volume of right circular cone=1/3 πr²h

volume of hemisphere           =2/3πr³

radius of hemisphere=radius of cone=(r)=5.6 cm

height of cone(h)=total height of the toy-radius of the hemisphere

                          =15.6-5.6

                         h= 10 cm

 volume of cone=1/3 πr²h

                             =(1/3) (22/7) 5.6² 10

 volume of cone  =328.53 cm³

volume of hemisphere=2/3 πr³    

                                       =(2/3) (22/7) (5.6)³            

                                       = 367.95 cm³    

volume of toy= volume of cone+volume of hemisphere

                        =328.53+367.95

      volume of toy =696.48 cm³