Question

A toy is in the form of a cone of radius 3.5cm mounted on a hemisphere of same radius .The total of the toy is 15.5cm .Find the total surface area of the toy .​

Answer 1

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Answer 2

Step-by-step explanation:

Total surface area is 214.5cm²

Given :

• Radius of the cone = 3.5cm (hemisphere)
• Height of the toy = 15.5cm

To find :

• T. S. A. of the toy

Solution :

• We need to find the C. S. A. of the hemisphere and the C. S. A. of cone for the T. S. A.

We know that,

➡️ T. S. A. of the toy :

C. S. A. of the hemisphere + C. S. A. of the cone

$\therefore$ Slant height = √h² + r²

= √(3.5)² + (12)²

= √12.25 + 144

= √156.25

= 12.5cm

Now

➡️ T. S. A. of the toy = 2πr² + πrl

= 2π(3.5)² + π(3.5)(12.5)

= 24.5π + 43.75π

= 68.25 × 22/7

= 214.5cm² ans.