Question

a toy is in the form of a cone of radius 3.5 cm mounted on hemisphere of same radius.if the total height of the toy is 15.5 cm, find the total surface area of toy

Answer 1

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Answer 2

Hiii friend,


Radius of cone = 3.5 cm

Height of hemispherical part of the toy = It's radius = 3.5 cm

Total height of toy = 15.5 cm

Height of conical part of the toy = Total height - Height of hemispherical part = 15.5 - 3.5 = 12cm.

Slant height = ✓(H)² + (R)² = ✓(12)² + (3.5)² = ✓144+12.25 = ✓156.25 = 12.5 cm


Total surface area of the toy = CSA of conical part + CSA of hemispherical part of the toy.


=> πRL + 2πR²

=> πR(L +2R)

=> 22/7 × 3.5( 12.5 + 2 × 3.5)

=> 22/7 × 3.5 ( 12.5 + 7)

=> 22 × 0.5 × 19.5

=> 214.5 cm³.

Hence,

The total surface area of the toy = 214.5 cm³.


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