作业帮英语的 关于percentageafter a lead ball is heated,its diameter increases by 0.9%,find the percentage increase in its volume.
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英语的 关于percentageafter a lead ball is heated,its diameter increases by 0.9%,find the percentage increase in its volume.
英语的 关于percentage
after a lead ball is heated,its diameter increases by 0.9%,find the percentage increase in its volume.
英语的 关于percentageafter a lead ball is heated,its diameter increases by 0.9%,find the percentage increase in its volume.
球受热后,直径增加了0.9%,求体积增加了多少
球的直径增加了0.9%,则半径也增加了0.9%
设以前的半径为1,则现在的半径为：1+0.009
原来的体积为v=4π/3
现在球的体积为V=4πr³/3
=4π/3×（1+0.009） ³
=4π/3×1.027243729
比原来增加了：（4π/3×1.027243729 -4π/3）÷（4π/3）
= 0.027243729
≈2.72%
故体积增加了约2.72%