A paper sector VABC of central angle 216° and radius 20 cm is folded into a right circular cone VAB. Find
(a) the curved surface area of the cone VAB
(b) the capacity of the cone VAB
F3 Maths Area and Volume?
2016-12-25 9:41 pm
回答 (1)
2016-12-25 10:16 pm
✔ 最佳答案
a)surface area VAB=area of VABC(pi)(20^2)(216/360)=753.9=754cm^2
b)arc length of sector=circumference VAB=(2)(pi)(20)(216/360)=75.39=75.4cm
redius of cone VAB=75.4/(2pi)=12cm
(high of cone)^2+12^2=20^2
high of cone=16cm
volume of VAB=(1/3)(pi)(12^2)(16)=2412.7=2410cm^3
收錄日期: 2021-04-18 15:53:39
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