Question

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

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

Total surface area of the toy is 214.5 cm².

Step-by-step explanation:

Given :-

• A toy is in the form of a cone of radius 3.5 cm mounted on a hemisphere of same radius.
• Total height of the toy is 15.5 cm.

To find :-

• Total surface area of the toy.

Solution :-

Radius of the hemisphere = Radius of the cone = r = 3.5 cm.

CSA of hemisphere,

= 2πr²

= 2×(22/7)×(3.5)² cm²

= 77 cm²

Height of the cone = Total height of toy - Radius of hemisphere

→ Height of cone = (15.5-3.5) cm²

→ Height of cone = 12 cm²

Let the slant height of the cone be l cm.

Now find the Slant height of the cone.

We know that,

l² = h²+r²

→ l² = 12² + 3.5²

→ l² = 144 + (7/2)²

→ l² = 144 + (49/4)

→ l² = 625/4

→ l = 25/2

→ l = 12.5

• slant height of the cone = 12.5 cm.

CSA of cone,

= πrl

= (22/7)×3.5×12.5 cm²

= 137.5 cm²

★ Total surface area of toy = CSA of hemisphere + CSA of cone

→ TSA of toy = (77+137.5) cm²

→ TSA of toy = 214.5 cm²

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