Sourav’s cap is in the form of a right circular cone of base radius

1.	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 cm22. 26400 cm23.13200 cm24. 46200 cm2
Answer» 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

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 cm22. 26400 cm23.13200 cm24. 46200 cm2

Answer» 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

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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 cm22. 26400 cm23.13200 cm24. 46200 cm2

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