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Draw less thall lype ogitl TUThe radii of circular ends of a bucket ofheight 24 cm are 15 cm and 5 cm. Find the area ofits curved surface. |
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Answer» Given, height h = 24 cm, r₁ = 15 cm and r₂ = 5 cm. We know that Slant height (l²) = h² + r² ⇒ l² = (24)² + (15 - 5)² ⇒ l² = 576 + 100 ⇒ l² = 676 ⇒ l = √676 ⇒ l = 26 cm. We know that curved surface area of frustum = π(r₁ + r₂)l ⇒ (22/7) * (5 + 15) * 26 ⇒ (22/7) * (20) * 26 ⇒ (22/7)[520] ⇒ 1634.28 cm^2. Therefore, area of its curved surface = 1634.28 cm^2. |
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