Sourav’s cap is in the form of a right circular cone of base radius 7 cm and height 24 cm. Find the area of the sheet required to make 2 dozen caps.
1. 23100 cm2
2. 26400 cm2
3.
13200 cm2
4. 46200 cm2
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Correct Answer – Option 3 :
13200 cm2
Given:
Radius of conical cap = 7 cm
Height of conical cap = 24 cm
Formula used:
Curved surface area of cone = πrl
l2 = r2 + h2
Where, r = radius of cone
l = slant height of cone
h = height of cone
Calculation:
l2 = 72 + 242
⇒ l2 = 49 + 576 = 625
⇒ l = √625 = 25 cm
Curved surface area of cone = π × 7 × 25 = 550 cm2
Area of sheet for 2 dozen caps = 550 × 2 × 12 = 13200 cm2
∴ The area of the sheet required to make 2 dozen caps is 13200 cm2