A toy is in the form of a cone of radius 3.5cm mounted on a hemisphere of the same radius. The total height of the toy is 15.5cm. Find the total surface area of the toy rounded off to the nearest integer.

As per the question we can draw the diagram.
Given:
The radius of the conical part and the hemispherical part is same (i.e., 3.5 cm)
Height of the hemispherical part, r = 3.5 = 7/2
Height of conical part, h = 15.5 - 3.5 = 12 cm
Slant height (l) of conical part
l = √r² + h² = √(7/2)² + 12² = √49/4 + 144 = √49 + 576/4 = √625/4 = 25/2
Total surface area of toy = CSA of conical part + CSA of hemispherical part
= πrl + 2πr²
= 22/7 × 7/2 × 25/2 + 2 × 22/7 × 7/2 × 7/2
= 214.7