题目内容
一个正方体加工成最大的圆柱,圆柱的体积是正方体的______%,再把圆柱加工成最大的圆锥,圆锥的体积是正方体的______%.
设正方体的棱长为a,则圆柱的高为a,
[π(a÷2)2×a]÷a3,
=
a3÷a3,
=
;
=78.5%;
[π(a÷2)2×a]×
÷a3,
=
×
,
=
,
≈26%,
故答案为:78.5,26.
[π(a÷2)2×a]÷a3,
=
| π |
| 4 |
=
| π |
| 4 |
=78.5%;
[π(a÷2)2×a]×
| 1 |
| 3 |
=
| π |
| 4 |
| 1 |
| 3 |
=
| π |
| 12 |
≈26%,
故答案为:78.5,26.
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