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Giải bài tập 10.25 trang 109 SGK Toán 9 tập 2 - Kết nối tri thức

Đèn trời có dạng hình trụ không có một đáy với đường kính đáy bằng 0,8m và thân đèn cao 1m. Tính diện tích giấy dán bên ngoài đèn trời.

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

Toán - Văn - Anh
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Đề bài

Đèn trời có dạng hình trụ không có một đáy với đường kính đáy bằng 0,8m và thân đèn cao 1m. Tính diện tích giấy dán bên ngoài đèn trời.

Video hướng dẫn giải

Phương pháp giải - Xem chi tiết

+ Bán kính đáy hình trụ: \(R = \frac{{0,8}}{2} = 0,4\left( m \right)\). + Diện tích xung quanh của hình trụ có bán kính đáy R và chiều cao h là: \({S_{xq}} = 2\pi Rh\). + Diện tích đáy hình trụ bán kính đáy R là: \({S_{đáy}} = \pi {R^2}\). + Diện tích giấy dán bên ngoài đèn trời: \(S = {S_{đáy}} + {S_{xq}}\).

Lời giải chi tiết

Bán kính đáy đèn trời là: \(R = \frac{{0,8}}{2} = 0,4\left( m \right)\). Diện tích xung quanh của đèn trời là: \({S_{xq}} = 2\pi Rh = 2\pi .0,4.1 = 0,8\pi \left( {{m^2}} \right)\). Diện tích đáy hình trụ là: \({S_{đáy}} = \pi {R^2} = \pi .0,{4^2} = 0,16\pi \left( {{m^2}} \right)\). Diện tích giấy dán bên ngoài đèn trời: \(S = {S_{đáy}} + {S_{xq}} = 0,16\pi  + 0,8\pi  = 0,96\pi \left( {{m^2}} \right)\).

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