Answer :

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 = 2πr^{2}

= 2 × 22/7 × 7^{2} cm^{2}

= 308 cm^{2}

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

l^{2} = h_{cone}^{2} + r^{2}

l^{2} = 24^{2} + 7^{2} = 576 + 49 cm^{2} = 625 cm^{2}

l = 25 cm

Surface area of conical part of toy = πrl

= 22/7 × 7 × 25 cm^{2}

= 550 cm^{2}

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 cm^{2} + 550 cm^{2} = 858 cm^{2}

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