A toy is in the form of a cone mounted on hemisphere diameter of the base and the height of the cone are 3 and8cm respectively determine the surface area of the toy
Answers
²Answer:
Step-by-step explanation:Given= diameter of the cone=3cm.
Height of the cone= 8cm. ;To find= the surface area of
the toy.
Therefore, radius of the cone= 3/2= 1.5cm.
First, find the slant height of the cone.
Slant height= √(h)*(h)+(r)*(r)cm
=√(8)*(8)+(1.5)*(1.5)cm
=√64+2.25cm
=√66.25cm
=5√265cm
Therefore, l = 5√265cm.
Therefore, the surface area of the conical toy= πrlcm*cm
=22/7*1.5*5√265cm*cm
=33/7*5√265cm*cm
=23.57√265cm*cm
Therefore, the surface area of the conical toy is 23.57√265cm²