Q. 14

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 = hcone = Total height of toy – Radius of toy

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

Let the slant height of the conical part be l

l2 = hcone2 + 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

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