A toy is in the form of a cone of radius 3.5 cm mounted on a hemisphere of same radius on its circular face. The total height of the toy is 15.5 cm. Find the total surface area of the toy

As cone is mounted upon hemisphere, both radius will be equal.

So, radius of cone (r) = radius of hemisphere(r) = 3.5 cm

Height of toy = height of cone + height of hemisphere

15.5 cm = h + 3.5 cm (Since height of hemisphere is its radius)

h = 12 cm

So, height of cone (h) = 12 cm

Slant height of cone

= 12.5 cm

Total surface area of toy = curved surface area of hemisphere +

curved surface area of cone

Curved surface area of hemisphere

Curved surface area of cone

Total surface area of toy = 77 + 137.5

Conclusion: Therefore, total surface area of toy is