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Giải bài 3 trang 99 sách bài tập toán 9 - Chân trời sáng tạo tập 2

Một đoạn ống bằng thép dạng hình trụ có chiều cao 12 cm, bán kính đáy bên trong 2,1 cm, bán kính đáy bên ngoài 2,5 cm. Người ta muốn sơn toàn bộ mặt bên trong và mặt bên ngoài của đoạn ống này. Tính diện tích cần sơn (kết quả làm tròn đến hàng đơn vị của xăngtimet vuông).

Tổng hợp Đề thi vào 10 có đáp án và lời giải

Toán - Văn - Anh
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Đề bài

ꦕMột đoạn ống bằng thép dạng hình trụ có chiều cao 12 cm, bán kính đáy bên trong 2,1 cm, bán kính đáy bên ngoài 2,5 cm. Người ta muốn sơn toàn bộ mặt bên trong và mặt bên ngoài của đoạn ống này. Tính diện tích cần sơn (kết quả làm tròn đến hàng đơn vị của xăngtimet vuông).

Phương pháp giải - Xem chi tiết

Diện tích xung quanh hình trụ: \({S_{xq}} = 2\pi rh\).

Lời giải chi tiết

Diện tích xung quanh của mặt bên ngoài ống là:

 \({S_1} = 2\pi {r_1}h = 2\pi .2,5.12 = 60\pi \)(cm2).

Diện tích xung quanh của mặt bên trong ống là:

 \({S_2} = 2\pi {r_2}h = 2\pi .2,1.12 = 50,4\pi \)(cm2).

Diện tích cần sơn là: S = S1 + S2 = \(60\pi  + 50,4\pi  = 110,4\pi  \approx 347\)(cm2).

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Tham Gia Group Dành Cho Lớp 9 - Ôn Thi Vào Lớp 10 Miễn Phí

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