1、 圓錐的體積（建議一課時(shí)完成）第一單元 圓柱與圓錐 六年級(jí)下冊(cè) 課后作業(yè)探索新知圓錐體積的計(jì)算公式1課堂探究點(diǎn)2課時(shí)流程課堂小結(jié)當(dāng)堂檢測(cè)北師大版六年級(jí)數(shù)學(xué)下冊(cè)北師大版六年級(jí)數(shù)學(xué)下冊(cè)探究點(diǎn) 圓錐體積的計(jì)算公式這堆小麥的體積是多少呢？?北師大版六年級(jí)數(shù)學(xué)下冊(cè)按照下面的方法做一做，你有什么發(fā)現(xiàn)？準(zhǔn)備等底等高的圓柱形容器和圓錐形容器各一個(gè)。將圓錐形容器裝滿沙子，再倒入圓柱形容器，看幾次能倒?jié)M。圓柱的體積等于和它等底等高的圓錐的體積的3倍。北師大版六年級(jí)數(shù)學(xué)下冊(cè)如果小麥堆的底面半徑為2m，高為1.5m。小麥堆的體積是多少立方米？6.28（m3）答：小麥堆的體積是6.28立方米。北師大版六年級(jí)數(shù)學(xué)下冊(cè)小試

2、牛刀（源于典中點(diǎn)）1填空。(1)圓錐的體積等于和它()的圓柱體積的 ()，所以圓錐的體積()，用字母表示是()。(2)一個(gè)圓柱和一個(gè)圓錐等底等高。若圓柱的體積是12.6 dm3，則圓錐的體積是()dm3，若圓錐的體積是12.6 dm3，則圓柱的體積是()dm3。等底等高底面積高V Sh4.237.8北師大版六年級(jí)數(shù)學(xué)下冊(cè)(3)把一個(gè)體積是24 cm3的圓柱削成一個(gè)最大的圓錐，削去部分的體積是()cm3。(4)一個(gè)圓柱的底面半徑是3 dm，高是8 dm，和它等底等高的圓錐的體積是()dm3。2判斷。(對(duì)的畫“”，錯(cuò)的畫“”)(1)圓錐體積等于圓柱體積的 。()(2)如果圓錐體積是圓柱體積的 ，那

3、么它們一定等底等高。()(3)一個(gè)圓錐的體積比與它等底等高的圓柱的體積小 。()1675.36北師大版六年級(jí)數(shù)學(xué)下冊(cè)3選擇。(將正確答案的字母填在括號(hào)里)(1)兩個(gè)體積和高分別相等的圓柱和圓錐，圓柱的底面積是圓錐的()。A3倍B.C. D. 倍B北師大版六年級(jí)數(shù)學(xué)下冊(cè)(2)把一個(gè)圓柱形木料削成一個(gè)最大的圓錐，削去部分的體積是10 dm3，這段木料的體積是多少立方分米？正確的算式是()A10B10C10D10B北師大版六年級(jí)數(shù)學(xué)下冊(cè)4求下列圖形的體積。(1)(2)28.26765.94(m3)321.5(cm) 3.141.5237.065(cm3)北師大版六年級(jí)數(shù)學(xué)下冊(cè)(3)18.843.14

4、23(dm) 3.1432437.68(dm3)北師大版六年級(jí)數(shù)學(xué)下冊(cè)5解決問題。(1)一個(gè)圓錐形沙堆，它的底面直徑是6 m，高是1.5 m。如果每立方米沙子重1.8 t，這堆沙子重多少噸？ 3.14(62)21.5 1.825.434(t) 答：這堆沙子重25.434 t。北師大版六年級(jí)數(shù)學(xué)下冊(cè)(2)一個(gè)用鋼鑄造的圓錐形鉛錘，它的底面周長是18.84 cm，高是4.5 cm。如果每立方厘米鋼重 7.9 g，這個(gè)鉛錘約重多少克？(得數(shù)保留整數(shù))3.14(18.843.142)24.5 7.9335(g)答：這個(gè)鉛錘約重335 g。北師大版六年級(jí)數(shù)學(xué)下冊(cè)歸納總結(jié)：（講解源于典中點(diǎn)）把一個(gè)圓柱削成

5、一個(gè)最大的圓錐，削去的體積是剩下體積的2倍。北師大版六年級(jí)數(shù)學(xué)下冊(cè)小試牛刀（教材P12練一練）下圖中，圓錐的體積與哪個(gè)圓柱的體積相等？說說你是 怎么想的。圓錐的體積與底面直徑為6，高為5的圓柱的體積相等。想法略。計(jì)算下面各圓錐的體積。如圖，測(cè)量中經(jīng)常使用鉛錘。這個(gè)鉛錘的體積是多少 立方厘米？有一座圓錐形帳篷，底面直徑約5m，高約3.6m。 （1）它的占地面積約是多少平方米？ （2）它內(nèi)部的空間約是多少立方米？3.14（52）219.625（m2）張大伯家有一堆小麥，堆成了圓錐形，張大伯量得它 的底面周長是9.42m，高是2m，這堆小麥的體積是多 少立方米？如果每立方米小麥的質(zhì)量為700kg，這

6、堆 小麥約重多少千克？底面積：3.14（9.423.142）27.065（m2）質(zhì)量：4.717003297（kg）體積：一個(gè)圓柱形橡皮泥，底面積是12cm2，高是5cm。 （1）如果把它捏成同樣底面大小的圓錐，這個(gè)圓錐的高是多少？ （2）如果把它捏成同樣高的圓錐，這個(gè)圓錐的底面積是多少？5315（cm）12336（cm2）易錯(cuò)辨析6一個(gè)圓錐的體積是6.28 m3，底面半徑是2 m，這個(gè)圓錐的高是多少米？6.283(3.1422)1.5(m)答：這個(gè)圓錐的高是1.5 m。易錯(cuò)點(diǎn)：逆用圓錐體積公式容易忘記乘3。版權(quán)申明本文部分內(nèi)容，包括文字、圖片、以及設(shè)計(jì)等在網(wǎng)上搜集整理.版權(quán)為個(gè)人所有This

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28、t law and other relevant laws, and shall not infringe upon the legitimate rights of this website and its relevant obligees. In addition, when any content or service of this article is used for other purposes, written permission and remuneration shall be obtained from the person concerned and the rel

29、evant obligee. 轉(zhuǎn)載或引用本文內(nèi)容必須是以新聞性或資料性公共免費(fèi)信息為使用目地地合理、善意引用，不得對(duì)本文內(nèi)容原意進(jìn)行曲解、修改，并自負(fù)版權(quán)等法律責(zé)任.Reproduction or quotation of the content of this article must be reasonable and good-faith citation for the use of news or informative public free information. It shall not misinterpret or modify the original intention of the content of this article, and shall bear legal liability such as copyright.版權(quán)申明本文部分內(nèi)容，包括文字、圖片、以及設(shè)計(jì)等在網(wǎng)上搜集整理.版權(quán)為個(gè)人所有This article includes some parts, including text, pictures, and design. Copyright is personal ownership.用戶可將本文地內(nèi)容或服務(wù)用于個(gè)人學(xué)習(xí)、研究或欣賞，以及其他非商業(yè)性或非