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Giải bài tập 9.18 trang 85 SGK Toán 9 tập 2 - Cùng khám phá

Từ một khối gỗ hình trụ bán kính đáy 5 cm và cao 7 cm, người ta khoét đi một phần gỗ của hình nón có bán kính đáy 3,3 cm và chiều cao 5,6 cm (Hình 9,25). Tính thể tích phần còn lại của khối gỗ.

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

Toán - Văn - Anh
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Đề bài

Từ một khối gỗ hình trụ bán kính đáy 5 cm và cao 7 cm, người ta khoét đi một phần gỗ của hình nón có bán kính đáy 3,3 cm và chiều cao 5,6 cm (Hình 9,25). Tính thể tích phần còn lại của khối gỗ.

Phương pháp giải - Xem chi tiết

♒Thể tích hình nón là: \(V = \frac{1}{3}\pi {r^2}h\) (với r là bán kính đáy và h là chiều cao của hình nón).

💙Thể tích hình trụ là: \(V = \pi {r^2}h\) (với r là bán kính đáy và h là chiều cao của hình trụ).

Lời giải chi tiết

Thể tích hình nón là:

\(V = \frac{1}{3}\pi {r^2}h = \frac{1}{3}\pi .3,{3^2}.5,6 \approx 20,3\pi \)(cm3)

Thể tích hình trụ là:

\(V = \pi {r^2}h = \pi {.5^2}.7 = 175\pi \) (cm3)

Thể tích phần còn lại của khối gỗ là:

\(175\pi  - 20,3\pi  = 154,7\pi \) (cm3)

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

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