一个圆柱形水池,水池内壁和底面都要贴上瓷砖。水池底面直径是6m,水池深1.2m。贴瓷砖的面积是多少平 一个圆柱形水池,水池的内壁和底面都要镶上瓷砖,已知水池底面直...
\u4e00\u4e2a\u5706\u67f1\u5f62\u6c34\u6c60\u5185\u58c1\u548c\u5e95\u9762\u90fd\u8981\u8d34\u4e0a\u74f7\u7816\uff0c\u6c34\u6c60\u5e95\u9762\u76f4\u5f84\u4e3a6m\uff0c\u6c60\u6df1\u4e3a1.2m\u3002\u8d34\u74f7\u7816\u7684\u9762\u79ef\u662f\u591a\u5c11\u5e73\u65b9\u7c736\u00d73.14\u00d71.2+\uff086\u00f72\uff09²\u00d73.14
=22.608+28.26
=50.868\uff08\u33a1\uff09
\u7b54:\u8d34\u74f7\u7816\u7684\u9762\u79ef\u662f50.868\u33a1\u3002
\u9576\u74f7\u7816\u9762\u79ef\u662f50.868\u5e73\u65b9\u7c73\u3002
\u5217\u5f0f\u8ba1\u7b97\uff1a
\u5e95\u90e8\u662f\u5706\u7684\u9762\u79ef\uff1aS=3.14*6^2/4=28.26\u5e73\u65b9\u7c73
\u5185\u58c1\u7684\u8868\u9762\u79ef\uff1aS=3.14*6*1.2=22.608\u5e73\u65b9\u7c73
\u4e24\u8005\u76f8\u52a0\uff1aS=28.26+22.608=50.868\u5e73\u65b9\u7c73
\u6269\u5c55\u8d44\u6599
\u5706\u7684\u9762\u79ef\uff1aS=\u03c0r²=\u03c0d²/4
\u6247\u5f62\u5f27\u957f\uff1aL=\u5706\u5fc3\u89d2\uff08\u5f27\u5ea6\u5236\uff09 * r = n\u00b0\u03c0r/180\u00b0\uff08n\u4e3a\u5706\u5fc3\u89d2\uff09
\u6247\u5f62\u9762\u79ef\uff1aS=n\u03c0 r²/360=Lr/2\uff08L\u4e3a\u6247\u5f62\u7684\u5f27\u957f\uff09
\u5706\u7684\u76f4\u5f84\uff1a d=2r
\u5706\u9525\u4fa7\u9762\u79ef\uff1a S=\u03c0rl\uff08l\u4e3a\u6bcd\u7ebf\u957f\uff09
\u5706\u7684\u6027\u8d28\uff1a
\u5782\u76f4\u4e8e\u8fc7\u5207\u70b9\u7684\u534a\u5f84\uff1b\u7ecf\u8fc7\u534a\u5f84\u7684\u4e00\u7aef\uff0c\u5e76\u4e14\u5782\u76f4\u4e8e\u8fd9\u6761\u534a\u5f84\u7684\u76f4\u7ebf\uff0c\u662f\u8fd9\u4e2a\u5706\u7684\u5207\u7ebf\u3002
\u5207\u7ebf\u7684\u5224\u5b9a\u65b9\u6cd5\uff1a\u7ecf\u8fc7\u534a\u5f84\u5916\u7aef\u5e76\u4e14\u5782\u76f4\u4e8e\u8fd9\u6761\u534a\u5f84\u7684\u76f4\u7ebf\u662f\u5706\u7684\u5207\u7ebf\u3002
内壁面积:3.14*6*1.2
加起来是50.868平方米
6/2=3(m)
3.14*3=28.26(平方米)
3.14*6*1.2=22.608(平方米)
22.608+28.26=50.868(平方米)
因为这道题求的是圆柱的侧面积加上一个底面(水池是无盖的)所以标准答案如上。
1.2*6=7.2
6/2=3
3²*3.14=9*3.14=28.26
28.26+7.2=35.46
绛旓細姘存睜鐨勫簳闈㈢Н锛3.14脳锛6梅2锛 2 =28.26锛堝钩鏂圭背锛夛紝璐寸摲鐮栫殑闈㈢Н锛22.608+28.26=50.868锛堝钩鏂圭背锛夛紱锛3锛夋按姹犵殑瀹圭Н锛3.14脳锛6梅2锛 2 脳1.2锛=3.14脳9脳1.2锛=33.912锛堢珛鏂圭背锛夛紝
绛旓細閾虹摲鐮栫殑闈㈢Н澶х害51骞虫柟绫炽
绛旓細绛旈暥鐡风爾鐨勯潰绉渶澶氭槸100.48骞虫柟绫
绛旓細=28.26锛堝钩鏂圭背锛夋睜鐨勪晶闈㈢Н=3.14脳6脳1.2 =22.608锛堝钩鏂圭背锛夐暥鐡风爾鐨勯潰绉=28.26+22.608 =50.868锛堝钩鏂圭背锛夎禐鍚2| 璇勮
绛旓細涓涓渾鏌卞舰姘存睜锛屾按姹犲唴澹佸拰搴曢儴閮介暥涓婄摲鐮栵紝姘存睜鍐呴儴搴曢潰鍛ㄩ暱25.12m锛屾睜娣1.2m锛屽簳闈㈠崐寰=25.12梅2梅3.14=4绫筹紝闀剁摲鐮栫殑闈㈢Н=2脳3.14脳4脳1.2锛3.14脳4脳4锛80.384骞虫柟绫筹紝绛旓細闀剁摲鐮栫殑闈㈢Н鏄80.384骞虫柟绫筹紝
绛旓細涓涓渾鏌卞舰姘存睜锛屾按姹搴曢潰鐩村緞6绫筹紝姹犳繁1.2绫筹紟锛1锛姘存睜鍐呭鍜屽簳闈閮借闀朵笂鐡风爾锛岄暥鐡风爾鐨勯潰绉槸澶氬皯骞虫柟绫筹紵锛2锛夎繖涓按姹犺兘瑁呭灏戝崌姘达紵锛1锛夋按姹犵殑渚ч潰绉細3.14脳6脳1.2=22.608锛堝钩鏂圭背锛夛紝姘存睜鐨勫簳闈㈢Н锛3.14脳锛6梅2锛2=28.26锛堝钩鏂圭背锛夛紝璐寸摲鐮栫殑闈㈢Н锛22.608+28.26=50.868...
绛旓細闀剁摲鐮栭潰绉槸50.868骞虫柟绫炽傚垪寮忚绠楋細搴曢儴鏄渾鐨勯潰绉細S=3.14*6^2/4=28.26骞虫柟绫 鍐呭鐨勮〃闈㈢Н锛歋=3.14*6*1.2=22.608骞虫柟绫 涓よ呯浉鍔狅細S=28.26+22.608=50.868骞虫柟绫
绛旓細姹搴曢潰绉細3.14脳3^2=28.26骞虫柟绫 姹犲闈㈢Н锛3.14脳6脳1.5=28.26骞虫柟绫 鎶规按娉ラ潰绉28.26+28.26=56.52骞虫柟绫 闇姘达細28.26脳1.2=33.912绔嬫柟绫
绛旓細6鍒嗙背=0.6绫 0.6梅2=0.3绫 0.3脳0.3=0.09骞虫柟绫 杩欎釜鍦嗘煴鐨勫簳闈㈢Н锛3.14脳0.09=0.2826骞虫柟绫 杩欎釜鍦嗘煴鐨勪晶闈㈢Н锛3.14脳0.6脳1.2=2.2608骞虫柟绫 2.2608+0.2826=2.5434骞虫柟绫 闀剁摲鐮栫殑闈㈢Н鏈澶氭槸2.5434骞虫柟绫
绛旓細6/2 =3 (3^2)*3.14=28.26 6*3.14*1.2=22.608 28.26+22.608=50.868 绛旓細闀剁摲鐮栫殑闈㈢Н鏄50.868骞虫柟绫.