将一个底面半径是10厘米的金属圆锥体,全部浸没在直径是40厘米的圆柱体玻璃水槽中,这时水槽水面比原来升高1.5厘米,问这个金属圆锥体的高是多少?
人气:424 ℃ 时间:2019-10-14 03:50:48
解答
金属圆锥的体积:
3.14×(40÷2)2×1.5
=3.14×400×1.5
=1256×1.5
=1884(立方厘米);
金属圆锥的高:1884×3÷(3.14×102)
=5652÷3.14×100
=5652÷314
=18(厘米);
答:金属圆锥的高是18厘米.
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