A toy is in the form of a cone of base radius 3.5 cm mounted on a hemisphere of base diameter 7 cm. If the total height of the toy is 15.5 cm, find the total surface area of the top (Use π = 22/7)
Let r and h be the radius and height of the cone mounted on the hemisphere, respectively.
Suppose R be the radius of the hemishpere.
r = R = 3.5 cm
Height of the cone + Radius of the hemisphere = Total height of the toy
∴ h + 3.5 cm = 15.5 cm
⇒ h = 15.5 − 3.5 = 12 cm
Let l be the slant height of the cone.
`=>l = 25/2cm`
Total surface area of the toy
= Curved surface area of the cone + Curved surface area of the hemisphere