A toy is in the f

The toy is in the form of a cone mounted on a hemisphere.

Total height of toy = h = 31 cm

Radius of toy = r = 7 cm

Surface area of hemispherical part toy = 2πr²

= 2 × 22/7 × 7² cm²

= 308 cm²

Height of conical part of toy = h_cone = Total height of toy – Radius of toy

Height of conical part of toy = h_cone = 31 – 7 = 24 cm

Let the slant height of the conical part be l

l² = h_cone² + r²

l² = 24² + 7² = 576 + 49 cm² = 625 cm²

l = 25 cm

Surface area of conical part of toy = πrl

= 22/7 × 7 × 25 cm²

= 550 cm²

Total surface area of toy = Surface area of hemispherical part of toy + Surface area of conical part of toy

Total Surface area of toy = 308 cm² + 550 cm² = 858 cm²