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Giải bài tập 5 trang 92 SGK Toán 9 tập 2 - Chân trời sáng tạo

Một cái mũ chú hề có kích thước như Hình 13. Hãy tính tổng diện tích giấy làm nên chiếc mũ (không tính phần hao hụt, kết quả làm tròn đến hàng đơn vị).

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

Toán - Văn - Anh
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Đề bài

Một cái mũ chú hề có kích thước như Hình 13. Hãy tính tổng diện tích giấy làm nên chiếc mũ (không tính phần hao hụt, kết quả làm tròn đến hàng đơn vị).

Video hướng dẫn giải

Phương pháp giải - Xem chi tiết

Dựa vào diện tích xung quanh của hình nón có bán kính r, độ dài đường sinh l là:  \({S_{xq}} = \pi rl\)

Lời giải chi tiết

Diện tích phần làm nón là:

\({S_{xq}} = \pi rl = \pi .\left( {\frac{{35}}{2} - 10} \right).30 = 225\pi \) (cm2).

Diện tích phần làm vành mũ là:

\({S_{vanh}} = \pi {\left( {\frac{{35}}{2}} \right)^2} - \pi .{\left( {\frac{{35}}{2} - 10} \right)^2} = 250\pi \) (cm2).

Tổng diện tích để làm mũ là:

\({S_{xq}} + \) \({S_{vanh}} = 225\pi  + 250\pi  \approx \)1492 (cm2).

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

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