答案:解水面高为h时,水面半径和面积分别为[tex=12.214x2.5]lBvHO/rqx3XSxk7F4tFdpvW/Tc94bRqDAx3NPye4OarnVrj6Cttjl1PDIrW41O+rjC6z2LODHiTsmMbDmwYiKDMM5D3PXW+p8y4Ng7di7D8=[/tex]小孔流速v和经过dt时间容器中水的体积增加量[tex=1.857x1.214]hkzmsRN4GU91pu+wcPr/hw==[/tex]分别为[tex=16.214x1.571]vq6822eKadzZTOU2YgoVVXHF9pTDzJcbcT1Gu8UYLdoM5UIGRqzKL68ljqmhrAq2j4w8KAb7MOTCDBe4TpzUOFOU38kFLNbBoF+QlbhXjXvTmVyolJHV6SPmV5oAxTaG[/tex]高度增加量(实为减少量)便是[tex=12.643x2.643]2diw4tVi3oA1ToqEZZ//vJ+XEGYzZiEmZHKLNkMXt+08EhG3NfKS06IekZ/wpA1xvODWw6pD8HgO7bsCYbsZ+JKzv96s7bhyHsDR3RrSM2lcZSRysyCMpyOcIE8uO93ijNLVq8KIrkbK9WBMDUhBiA==[/tex]积分[tex=12.857x3.0]EsyEn7hHZ8RJ2i5cVNU6dVtoK1oEhMqXQB+DWQimVXl72m/3sprVSBkXVj6QD+hzZauUsFbmwiDWJMZAbx2QrsXWr6dUsOMmyB2XaOAwVE5GaqkrckqbqotcjityddpK5qkj2ebqkkS9VHaDHmdxuDaRTwUg63GjUE9DG+a8reo=[/tex]得[tex=9.571x3.429]TVBba0ek2MKPk7RjQ8Dfb/ZzaPzA5rbxexlxDU/EYUMpWmpHAyYw0La65/yK3C1afRxdXNwDMCfjeJwxmvZGaQ==[/tex]