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Giải bài 10.7 trang 66 sách bài tập toán 9 - Kết nối tri thức tập 2

Bác Khôi làm một dụng cụ bằng tôn gồm một phần có dạng hình trụ và một phần có dạng hình nón với các kích thước như Hình 10.3. Tính thể tích của dụng cụ này (coi mép hàn không đáng kể và làm tròn kết quả đến hàng đơn vị của (c{m^3})).

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

Toán - Văn - Anh
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Đề bài

Bác Khôi làm một dụng cụ bằng tôn gồm một phần có dạng hình trụ và một phần có dạng hình nón với các kích thước như Hình 10.3. Tính thể tích của dụng cụ này (coi mép hàn không đáng kể và làm tròn kết quả đến hàng đơn vị của \(c{m^3}\)).

Phương pháp giải - Xem chi tiết

Thể tích của hình trụ có bán kính đáy R và chiều cao h là: \({{V}_{1}}={{S}_{đáy}}.h=\pi {{R}^{2}}h\). Thể tích của hình nón bán kính r và chiều cao h là: \({V_2} = \frac{1}{3}\pi {r^2}h\). Thể tích của dụng cụ là: \(V = {V_1} + {V_2}\).

Lời giải chi tiết

Thể tích của hình trụ là: \({V_1} = \pi .{\left( {20:2} \right)^2}.30 = 3\;000\pi \left( {c{m^3}} \right)\). Thể tích của hình nón là: \({V_2} = \frac{1}{3}.\pi .{\left( {20:2} \right)^2}.20 = \frac{{2\;000\pi }}{3}\left( {c{m^3}} \right)\). Thể tích của dụng cụ là: \(V = {V_1} + {V_2} = 3\;000\pi  + \frac{{2\;000\pi }}{3} = \frac{{11\;000\pi }}{3} \approx 11\;519\left( {c{m^3}} \right).\)

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

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