把一个底面直径为40厘米的圆锥体金属投入到底面直径为80厘米的圆柱形玻璃容器内,这时杯中水面比原来升高了3厘米.求金属圆锥体的高是多少厘米?
人气:149 ℃ 时间:2019-08-20 17:39:31
解答
金属圆锥的体积:
3.14×(80÷2)2×3,
=3.14×1600×3,
=5024×3,
=15072(立方厘米);
金属圆锥的高:15072×3÷[3.14×(40÷2)2],
=45216÷[3.14×400],
=30144÷1256,
=36(厘米);
答:金属圆锥的高是36厘米.
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