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Giải bài tập 9.9 trang 76 SGK Toán 9 tập 2 - Cùng khám phá

Thả 10 chiếc đinh có kích thước như Hình 9.31 vào một cốc nước thuỷ tinh. Đinh chìm hẳn xuống và nước trong cốc không bị trần ra ngoài. Hỏi thể tích nước trong cốc tăng thêm bao nhiêu mililit (làm tròn kết quả đến hàng phần mười)?

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

Toán - Văn - Anh
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Đề bài

Thả 10 chiếc đinh có kích thước như Hình 9.31 vào một cốc nước thuỷ tinh. Đinh chìm hẳn xuống và nước trong cốc không bị trần ra ngoài. Hỏi thể tích nước trong cốc tăng thêm bao nhiêu mililit (làm tròn kết quả đến hàng phần mười)?

Phương pháp giải - Xem chi tiết

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

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

Lời giải chi tiết

Thể tích phần chân đinh hình trụ:

\(V = \pi {r^2}h = \pi {.4^2}.2 = 32\pi \) mm3

Thể tích phần thân đinh hình trụ:

\(V = \pi {r^2}h = \pi {.2^2}.25 = 100\pi \) mm3

Thể tích phần hình nón:

\(V = \frac{1}{3}\pi {r^2}h = \frac{1}{3}.\pi {.2^2}.5 = \frac{{20}}{3}\pi \) mm3

Thể tích nước tăng thêm là:

\(10.\left( {32\pi  + 100\pi  + \frac{{20}}{3}\pi } \right) \approx 4356,3\) mm3.

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

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