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Giải bài 4 trang 126 vở thực hành Toán 9 tập 2

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 (coi các mép dán không đáng kể).

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 (coi các mép dán không đáng kể).

Phương pháp giải - Xem chi tiết

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

Lời giải chi tiết

\(R = 0,8:2 = 0,4\left( m \right),h = 1m\). Diện tích xung quanh của đèn là: \({S_{xq}} = 2\pi Rh = 2\pi .0,4.1 = 0,8\pi \left( {{m^2}} \right)\). Diện tích một đáy của đèn 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: \(S = 0,16\pi  + 0,8\pi  = 0,96\pi \left( {{m^2}} \right)\).

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