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圆椎体积公式A

2017-09-01 14页 doc 99KB 172阅读

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圆椎体积公式A圆椎体积公式A 圆椎的体积与单元检测 (1) 圆锥的特征: 圆锥有一个底面和一个侧面,它的底面是个圆,侧面是一个曲面(从圆锥的顶点到底面圆心的距离叫圆锥的高,它只有一条高( (2) 圆锥的体积计算公式: 圆锥的体积等于和它等底等高的圆柱体积的三分之一(用字母表示 在解题时不要忘掉”,还要注意只有在“等底等高”的情况下,圆锥的体积才等于圆柱的体积的。 计算圆锥形容器的容积时,也用体积公式进行计算(但体和容积是不同的概念,体积是指物体所占空间的大小,而容积是指容器所能容纳物体的体积,虽然计算公式一样,但要注意它们的...
圆椎体积公式A
圆椎体积公式A 圆椎的体积与单元检测 (1) 圆锥的特征: 圆锥有一个底面和一个侧面,它的底面是个圆,侧面是一个曲面(从圆锥的顶点到底面圆心的距离叫圆锥的高,它只有一条高( (2) 圆锥的体积计算公式: 圆锥的体积等于和它等底等高的圆柱体积的三分之一(用字母表示 在解题时不要忘掉”,还要注意只有在“等底等高”的情况下,圆锥的体积才等于圆柱的体积的。 计算圆锥形容器的容积时,也用体积公式进行计算(但体和容积是不同的概念,体积是指物体所占空间的大小,而容积是指容器所能容纳物体的体积,虽然计算公式一样,但要注意它们的区别( 计算圆锥形容器的容积时,也用体积公式进行计算(但体和容积是不同的概念,体积是指物体所占空间的大小,而容积是指容器所能容纳物体的体积,虽然计算公式一样,但要注意它们的区别( 例1、 一个圆锥体的谷堆,底面周长9.42米,高1.8米,它的体积是多少立方米, ?求半径:9.42?3.14?2=1.5米 ?求体积: ×1.5×1.5×3×3.14×1.8=4.239(立方米) 答:这个谷堆的体积是4.239立方米( 例2、 一个圆锥形容器,从量面量高为15厘米,底面半径8厘米,容器装满水,这个容器可 装水多少毫升, ×3.14×8×8×15=100.48(立方厘米) =100. 48毫升 答:这个容器可装100.48毫升( 从以上两题可以看出,有两个不同点,一是单位名称不同,二是测量方法不同,计算体积时要从物体外部测量后计算,计算容积时,要从物体内部测量计算( 例3、 一个圆锥形容器,可容水122.46毫升,已知底面直径是6厘米,高是多少厘米, 分析:这是一道逆向思维的题,用方程解比较容易,根据公式,对号入座,即可解决( 解:设高为x厘米 and performance test copies of the record. If necessary, review should be carried out; 4) for spring hangers (included simple spring, hangers and constant support hangers) it should also be recognized as setting and locking of loads. 5) check the surface quality, folded layering and without cracks, rust and other defects. 5) after completion of the test and control drawing number one by one, by series baled. Color alloy steel parts, the parts marking installation location and rotation about the direction you want. 7.3.14. hangers installation 7.3.14.1 hanger layout a. a clear design of hanger should be installed strictly in accordance with the drawings and designs shall not be installed wrong, missing, etc. B. own arrangement of piping support and hanger set and selection should be based on comprehensive analysis of general layout of piping systems; cold installation of steam pipe with particular attention reserved for compensation of thermal expansion displacement and orientation. C. support systems should be rational to withstand pipe loads, static load and incidental load; reasonable piping displacement; guaranteed under various conditions, stress are within the allowed range. Strength, stiffness, and meet requirements to prevent vibration and soothing water, without affecting the adjacent equipment maintenance and other piping installation and expansion. D. equipment connected to the interface to meet pipeline thrust (torque) limit requirements; increase the stability of piping systems to prevent pipeline ... Tube wall thickness (mm) 2-3 4-6 7-10 weld form no slope mouth weld strengthening height h (mm) 1-1.5 1.5-2 weld width b (mm) 5-6 7-6 has slope mouth weld strengthening height h (mm) 1.5-2 2 weld width b (mm) cover had each edge slope mouth about 2 mm argon arc welding weld strengthening surface height and width tube wall thickness (mm) 2--3 3--4 5--6 weld form weld strengthening height h (mm) 1-1 .5 1.5-2 2-2.5 width b (mm) 答:高是13厘米( 例4、把一个底面半径是10厘米,高15厘米的圆柱形钢件,熔铸成一个高是0.6米的圆柱形钢 件,这个圆锥的底面应是多少平方厘米, 分析:圆柱形钢件熔铸成圆锥形钢件,虽然形状发生变化,但体积大小没变,这叫等积变形问 题,解答这类问题,利用体积不变这个等量关系,用方程解( 解:设圆锥底面为x平方厘米 答:圆锥底面应是235.5平方厘米( (3) 圆柱和圆锥的三种关系: ? 等底等高,体积不等( 圆锥体积等于圆柱的 ,圆柱体积是圆锥的3 ? 等底,等体积,高不等 圆锥的高是圆柱高的3倍,圆柱高是圆锥的 ? 等高,等体积,高不等( 圆柱的底面积是圆锥底面积的 圆锥的底面积是圆柱的底面积的3倍( 利用上面关系,解决下面问题( 例如:等底等高的圆柱体和圆锥体体积之和是 12.56立方厘米,圆柱体积是多少, 分析:等底等高,圆柱体积等于圆锥体积的3倍( 12.56?(3+1)×3=9.42(立方厘米) 也可以用对应思想去解决此题: tion aed under various conditions, stress are within the allowed range. Strength, stiffness, and meet requirements to prevent vibrasystems should be rational to withstand pipe loads, static load and incidental load; reasonable piping displacement; guarantepport on of steam pipe with particular attention reserved for compensation of thermal expansion displacement and orientation. C. sut and hanger set and selection should be based on comprehensive analysis of general layout of piping systems; cold installatisupportrictly in accordance with the drawings and designs shall not be installed wrong, missing, etc. B. own arrangement of piping the direction you want. 7.3.14. hangers installation 7.3.14.1 hanger layout a. a clear design of hanger should be installed sabout ol drawing number one by one, by series baled. Color alloy steel parts, the parts marking installation location and rotation ck the surface quality, folded layering and without cracks, rust and other defects. 5) after completion of the test and contrspring, hangers and constant support hangers) it should also be recognized as setting and locking of loads. 5) che and performance test copies of the record. If necessary, review should be carried out; 4) for spring hangers (included simple22.5 width b (mm)-2 2-1 .5 1.5-6 weld form weld strengthening height h (mm) 1--4 5--3 3--uth about 2 mm argon arc welding weld strengthening surface height and width tube wall thickness (mm) 22 2 weld width b (mm) cover had each edge slope mo-6 has slope mouth weld strengthening height h (mm) 1.5-6 7-2 weld width b (mm) 5-1.5 1.5-10 weld form no slope mouth weld strengthening height h (mm) 1-6 7-3 4-event pipeline ... Tube wall thickness (mm) 2to pr ment connected to the interface to meet pipeline thrust (torque) limit requirements; increase the stability of piping systemsnd soothing water, without affecting the adjacent equipment maintenance and other piping installation and expansion. D. equip 12.56?(1+)=9.42(立方厘米) 答:圆柱体积是9.42立方厘米( 填空: ? 等底等高的圆柱和圆锥,圆锥体积是圆柱体积的( )( ?一个圆锥高不变,底面积扩大2倍,圆锥体积扩大( )倍( ?把一个圆柱削成一个和它等底等高的圆锥,削去的体积是64立方厘米,圆锥体积是( )( ?一个圆柱体的底面积是25平方厘米,高12厘米,它的体积是( )( ?一个圆柱体的底面积是6.28平方分米,高3分米,和这个圆柱体,等底,等高和圆锥体的体积是( )( ?一个圆柱体和一个圆锥体的高和体积都相等,则圆柱体的底面是圆锥体底面的( )( ?一个圆柱削去6立方分米,正好削成一个与它等底等高的圆锥,这个圆柱的体积是( )( 应用题 ? 一个近似圆锥形砂堆,底面周长是31.4米,高3米,一辆汽车每次能运8立方米,几次可 以运完,(得数保留整数) ?一个圆柱形水桶,里面盛48立方分米的水,正好盛满,如果把一块与水桶等底等高的圆锥形,放入水中,桶内还有多少水, ?一个圆锥形容堆,高1.2米,占地面积是20平方米,把这堆谷装进粮仓,正好占这个粮仓容积的,这个粮仓的容积是多少, ?有AB两上容器,如图先把装满水,然后倒入B中,B中水的深度是多少厘米, ?一个圆柱和一个圆锥底面积相等,圆柱高3分米,体积是60立方分米,比圆锥体积大20立方分米,这个圆锥的高是多少分米, ? 只有在等底,等高的情况下,圆柱体积才是圆锥的 ( ? 因为圆柱体底面是圆,它的周长12.56,只与直径和π有关,而与高无关,因此不能说一定相等( ? 圆柱体的体积与底面积和高有关系,不能只与高有关( ? 此题,单位名称不统一,在审题时必须注意这个问题,另外用字母V表示体积时,得出的结果不应写单位名称,字母只能表示一个数,而不能表示量( nce and other piping installation and expansion. D. equipment connected to the interface to meet pipeline thrust (torque) limintenarength, stiffness, and meet requirements to prevent vibration and soothing water, without affecting the adjacent equipment maincidental load; reasonable piping displacement; guaranteed under various conditions, stress are within the allowed range. Stand of thermal expansion displacement and orientation. C. support systems should be rational to withstand pipe loads, static load ysis of general layout of piping systems; cold installation of steam pipe with particular attention reserved for compensationanal alled wrong, missing, etc. B. own arrangement of piping support and hanger set and selection should be based on comprehensivelayout a. a clear design of hanger should be installed strictly in accordance with the drawings and designs shall not be inst angers, the parts marking installation location and rotation about the direction you want. 7.3.14. hangers installation 7.3.14.1 hother defects. 5) after completion of the test and control drawing number one by one, by series baled. Color alloy steel part st andould also be recognized as setting and locking of loads. 5) check the surface quality, folded layering and without cracks, ruary, review should be carried out; 4) for spring hangers (included simple spring, hangers and constant support hangers) it shand performance test copies of the record. If necess32.5 width b (mm)-2 2-1 .5 1.5-6 weld form weld strengthening height h (mm) 1--4 5--3 3--nd width tube wall thickness (mm) 22 2 weld width b (mm) cover had each edge slope mouth about 2 mm argon arc welding weld strengthening surface height a-6 has slope mouth weld strengthening height h (mm) 1.5-6 7-2 weld width b (mm) 5-1.5 1.5-o slope mouth weld strengthening height h (mm) 110 weld form n-6 7-3 4-it requirements; increase the stability of piping systems to prevent pipeline ... Tube wall thickness (mm) 2 ?当圆柱和圆锥等底等高时,圆柱体积比圆锥大2倍,而不是 ( 一、 基本概念 (1) 填空: ? 4.02立方米=( )立方米( )立方分米 ? 立方米=( )升 ? 把圆柱体的侧面展开,可能得到一个( )形,也可能得到( )形( ?一个圆柱的底面直径和高都是15厘米,那么这个圆柱的侧面积是( ),表面积是( ), 体积是( )( ? 一堆小麦堆成圆锥形,底面周长是18. 84米,高1.8米,这堆小麦的体积是( )( ?底面积是1平方厘米,高是( )的圆锥形,体积是24立方厘米( ? 等底等高的圆柱体的体积是圆锥体体积是( )倍,也就是等底等高的圆锥体,体积是圆柱体 体积的( )( ? 高是4分米,底面积是( )平方分米的圆锥体,体积是36立方分米( ? 一个圆柱体比和它等底等高的圆锥体体积大25立方厘米,那么圆柱体和圆锥体体积的和是 ( )( ? ?把一个圆柱体的侧面展开,是一个正方形,如果圆柱体的高是25.12厘米,它的底面半径 是( )( (二)判断正误,对的画"?"错的画"×"( ? 圆柱的高有无数条 ( )( ? 圆锥的体积等于圆柱体积的 ( )( ? 一个圆柱高12厘米,与一个圆锥的体积相等,底面也相等,圆锥的高是4厘米 ( )( ? 圆柱体底面半径扩大2倍,高不变,圆柱体的侧面积就扩大2倍 ( )( (三)选择正确答案填空: 一个圆柱形水池,底面直径是8米,深2.5米,求这个水池的占地面积的计算式是( )( ? 把一根圆柱体木材加工成一个等底等高的圆锥体,削去的部分是圆柱体的( )( 二、求下面各图形的体积(单位:厘米) 1.5 1.5-10 weld form no slope mouth weld strengthening height h (mm) 1-6 7-3 4-event pipeline ... Tube wall thickness (mm) 2to pr ment connected to the interface to meet pipeline thrust (torque) limit requirements; increase the stability of piping systemsnd soothing water, without affecting the adjacent equipment maintenance and other piping installation and expansion. D. equiption aed under various conditions, stress are within the allowed range. Strength, stiffness, and meet requirements to prevent vibrasystems should be rational to withstand pipe loads, static load and incidental load; reasonable piping displacement; guarantepport on of steam pipe with particular attention reserved for compensation of thermal expansion displacement and orientation. C. sut and hanger set and selection should be based on comprehensive analysis of general layout of piping systems; cold installatisupportrictly in accordance with the drawings and designs shall not be installed wrong, missing, etc. B. own arrangement of piping the direction you want. 7.3.14. hangers installation 7.3.14.1 hanger layout a. a clear design of hanger should be installed sabout ol drawing number one by one, by series baled. Color alloy steel parts, the parts marking installation location and rotation ck the surface quality, folded layering and without cracks, rust and other defects. 5) after completion of the test and contrspring, hangers and constant support hangers) it should also be recognized as setting and locking of loads. 5) che and performance test copies of the record. If necessary, review should be carried out; 4) for spring hangers (included simple42.5 width b (mm)-2 2-1 .5 1.5-6 weld form weld strengthening height h (mm) 1--4 5--3 3--uth about 2 mm argon arc welding weld strengthening surface height and width tube wall thickness (mm) 22 2 weld width b (mm) cover had each edge slope mo-6 has slope mouth weld strengthening height h (mm) 1.5-6 7-2 weld width b (mm) 5- 三、解决问题 ? 一个圆柱形油桶,底面半径是1.4分米,高5分米,做这样一个油桶需要多少铁皮, (得数保留一位小数)( ? 一个圆柱形粮仓底面半径3米,高3.5米,每立方米小麦重780千克,这个粮仓装 多少千克小麦( ? 一个圆柱形水桶,桶深5分米,桶底的直径是8分米,把这个水桶盛满水,如果每 升水重1千克,这个桶中的水重多少千克, ? 一个圆柱形茶杯,底面直径是4厘米,高10厘米,把它装满水后,再倒入一个长 10厘米,宽8厘米的长方形容器后,水面的高是多少厘米,(用方程解) -it requirements; increase the stability of piping systems to prevent pipeline ... Tube wall thickness (mm) 2nce and other piping installation and expansion. D. equipment connected to the interface to meet pipeline thrust (torque) limintenarength, stiffness, and meet requirements to prevent vibration and soothing water, without affecting the adjacent equipment maincidental load; reasonable piping displacement; guaranteed under various conditions, stress are within the allowed range. Stand of thermal expansion displacement and orientation. C. support systems should be rational to withstand pipe loads, static load ysis of general layout of piping systems; cold installation of steam pipe with particular attention reserved for compensationanal alled wrong, missing, etc. B. own arrangement of piping support and hanger set and selection should be based on comprehensivelayout a. a clear design of hanger should be installed strictly in accordance with the drawings and designs shall not be inst angers, the parts marking installation location and rotation about the direction you want. 7.3.14. hangers installation 7.3.14.1 hother defects. 5) after completion of the test and control drawing number one by one, by series baled. Color alloy steel part st andould also be recognized as setting and locking of loads. 5) check the surface quality, folded layering and without cracks, ruary, review should be carried out; 4) for spring hangers (included simple spring, hangers and constant support hangers) it shand performance test copies of the record. If necess52.5 width b (mm)-2 2-1 .5 1.5-6 weld form weld strengthening height h (mm) 1--4 5--3 3--nd width tube wall thickness (mm) 22 2 weld width b (mm) cover had each edge slope mouth about 2 mm argon arc welding weld strengthening surface height a-6 has slope mouth weld strengthening height h (mm) 1.5-6 7-2 weld width b (mm) 5-1.5 1.5-o slope mouth weld strengthening height h (mm) 110 weld form n-6 7-3 4
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