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Giải bài tập 10.4 trang 100 SGK Toán 9 tập 2 - Kết nối tri thức

Một bóng đèn huỳnh quang có dạng hình trụ được đặt khít vào một hộp giấy cứng dạng hình hộp chữ nhật (H.10.15). Hộp giấy có chiều dài bằng 0,6m, đáy là hình vuông cạnh 4cm. Tính diện tích xung quanh và thể tích của bóng đèn (giả sử bề dày của hộp giấy không đáng kể).

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

Toán - Văn - Anh
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Đề bài

Một bóng đèn huỳnh quang có dạng hình trụ được đặt khít vào một hộp giấy cứng dạng hình hộp chữ nhật (H.10.15). Hộp giấy có chiều dài bằng 0,6m, đáy là hình vuông cạnh 4cm. Tính diện tích xung quanh và thể tích của bóng đèn (giả sử bề dày của hộp giấy không đáng kể).

Video hướng dẫn giải

Phương pháp giải - Xem chi tiết

Diện tích xung quanh của hình trụ có bán kính đáy R và chiều cao h là: \({S_{xq}} = 2\pi Rh\).

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

Lời giải chi tiết

Bóng đèn huỳnh quang đó có chiều cao bằng \(h = 0,6m = 60cm\) và đường kính đáy 4cm nên bán kính đáy là \(R = 2cm\). Diện tích xung quanh của bóng đèn là: \({S_{xq}} = 2\pi Rh = 2\pi .60.2 = 240\pi \left( {c{m^2}} \right)\). Thể tích của bóng đèn là:

V = Sđáyꦦ.h\( = \pi {R^2}h\)\( = \pi {.2^2}.60 = 240\pi \left( {c{m^3}} \right)\).

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

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