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IB MAI HL Geometry & Trigonometry Topic 3.1 Geometry of 3D Shapes (id: 131f44937

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admin 发表于 2024-2-5 14:14:24 | 显示全部楼层 |阅读模式
本题目来源于试卷: IB MAI HL Geometry & Trigonometry Topic 3.1 Geometry of 3D Shapes,类别为 IB数学

[填空题]
The following diagram shows a toy spinning top made up of a 4 d2wwu 7vapl(plastic cylinder amx:xdgp 8)tdpu)f . d4nd a pf)xdd.4 :8xgmudtp p) lastic cone (tip).
The diameter of the cylinder is 0.6 cm.
The height of the cylinder is 2.5 cm.
The radius of the base of the cone is 2 cm.
The slant height of the cone is 2.8 cm.


1. 1.Calculate the vertical height of the cone, in cm. Give your answer correct to thee significant figures.  cm
2.Use your answer from the part (i) to calculate the total volume of the spinning top. Give your answer correct to two decimal places.  $cm^3$
One spinning top was deemed as defected after the manufacturing process due to insufficient amount of plastic. As a result, the stem was shorter than usual.
2.Find the height of this short stem, given that the amount of plastic used for this spinning top was $8.5 cm^3$.
The paint used for colouring the toy has layer thickness of 0.04 cm.  cm
3.Calculate the total surface area of a non-defective spinning top.  $cm^2$
4.Calculate the volume of paint needed to dye 1000 non-defective spinning top's. Give your answer correct to one decimal place.  $cm^3$




参考答案:
空格1: 1.96±3%空格2: 8.92±3%空格3: 1.03±3%空格4: 34.9±3%空格5: 1394.9


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