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Giải bài tập 10.12 trang 107 SGK Toán 9 tập 2 - Kết nối tri thức

Một vòng bi bằng thép có hình dạng (phần thép giữa hai hình trụ) và kích thước như Hình 10.30. Tính thể tích của vòng bi đó.

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

Toán - Văn - Anh
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Đề bài

Một vòng bi bằng thép có hình dạng (phần thép giữa hai hình trụ) và kích thước như Hình 10.30. Tính thể tích của vòng bi đó.

Video hướng dẫn giải

Phương pháp giải - Xem chi tiết

+ Tính thể tích hình trụ \({V_1}\) có bán kính 7cm, chiều cao 10cm. + Tính thể tích hình trụ \({V_2}\) có bán kính 5cm, chiều cao 10cm. + Thể tích của vòng bi: \(V = {V_1} - {V_2}\).

Lời giải chi tiết

Thể tích hình trụ có bán kính 7cm, chiều cao 10cm là: \({V_1} = \pi {.7^2}.10 = 490\pi \left( {c{m^3}} \right)\). Thể tích hình trụ có bán kính 5cm, chiều cao 10cm là: \({V_2} = \pi {.5^2}.10 = 250\pi \left( {c{m^3}} \right)\). Thể tích của vòng bi là: \(V = {V_1} - {V_2} = 490\pi  - 250\pi  = 240\pi \left( {c{m^3}} \right)\).

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

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