The volume of wooden toy will the volume of the right circular cone plus the volume of the hemisphere on which it is mounted.
Volume of the cone =13πr2h
Volume of the hemisphere=23πr3
Here,
r= Radius of the hemisphere or the radius of the cone ; as in this cane the cone is mounted on hemisphere so both's radius will be the same
h= Height of the cone
Given :
r=4.2cm
as the total height of the toy is 10.2cm so the height of the cone will be : this total height − radius of the hemisphere.
h=10.2−4.2=6cm
Therefore the volume of toy V:
=13πr2h+23πr3
=13π4.22×6+23π4.23
=110.835+155.1695
≈266.11cm3 Ans.