圆台体积计算公式 圆台体积计算公式
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V\u5706\u53f0=1/3*PI*H*\uff08S\u4e0a+S\u4e0b+\u6839\u53f7\uff08S\u4e0a*S\u4e0b\uff09\uff09
V=1/3\u03c0h\uff08r²\uff0bR²\uff0brR\uff09
\u89e3\u91ca\uff1a\u5706\u53f0\u7684\u4e0a\u3001\u4e0b\u5e95\u9762\u7684\u534a\u5f84\u5206\u522b\u662fr\uff0cR\uff0c\u9ad8\u662fh
\u5706\u53f0\u6027\u8d28\uff1a
1\u3001\u5e73\u884c\u4e8e\u5e95\u9762\u7684\u622a\u9762\u662f\u5706\u3002
2\u3001\u8fc7\u8f74\u7684\u622a\u9762\u662f\u7b49\u8170\u68af\u5f62\u3002
3\u3001\u540c\u522b\u7684\u68f1\u53f0\u4e00\u6837\uff0c\u82e5\u5b83\u662f\u4e00\u4e2a\u5706\u9525\u4f53\u5728½\u5904\u622a\u65ad\uff0c\u5219\u4e0a\u5e95\u534a\u5f84\u4e5f\u5e94\u4e3a\u4e0b\u5e95\u76841/2\uff0c\u622a\u4e0b\u9762\u79ef\u662f\u6574\u4e2a\u5706\u9525\u9762\u79ef\u76841/7\u8fc7\u5706\u53f0\u4fa7\u9762\u4e00\u70b9\u6709\u4e14\u53ea\u6709\u4e00\u6761\u6bcd\u7ebf\u3002
4\u3001\u5982\u679c\u6cbf\u4e00\u4e2a\u76f4\u89d2\u68af\u5f62\u5782\u76f4\u4e8e\u5e95\u8fb9\u7684\u8170\u65cb\u8f6c\u4e00\u5468\uff0c\u5c06\u5f97\u5230\u4e00\u4e2a\u5706\u53f0\u3002
5\u3001\u5706\u53f0\u4efb\u610f\u4e24\u6761\u6bcd\u7ebf\u5ef6\u957f\u540e\u4ea4\u4e8e\u4e00\u70b9\u3002
\u6269\u5c55\u8d44\u6599\uff1a
\u5706\u53f0\u76f8\u5173\u51e0\u4f55\u56fe\u5f62\uff1a\u5706\u9525
\u5706\u9525\u9762\u548c\u4e00\u4e2a\u622a\u5b83\u7684\u5e73\u9762\uff08\u6ee1\u8db3\u4ea4\u7ebf\u4e3a\u5706\uff09\u7ec4\u6210\u7684\u7a7a\u95f4\u51e0\u4f55\u56fe\u5f62\u53eb\u5706\u9525\u3002
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\u6ce8\u610f\uff1a\u5706\u9525\u4e0d\u662f\u7279\u6b8a\u7684\u5706\u67f1\u3002
\u53c2\u8003\u8d44\u6599\u6765\u6e90\uff1a\u767e\u5ea6\u767e\u79d1-\u5706\u9525
\u53c2\u8003\u8d44\u6599\u6765\u6e90\uff1a\u767e\u5ea6\u767e\u79d1-\u5706\u53f0
r－上底半径
R－下底半径
h－高
圆台的体积公式：V=[S+S′+√(SS′)]h÷3=πh(R^2＋Rr＋r^2)/3
r－上底半径
R－下底半径
h－高
绛旓細鍦嗗彴鐨勪綋绉叕寮忎负V=(1/3)蟺h(r^2+R^2+Rr)锛宧鏄渾鍙扮殑楂橈紝r鍜孯鏄渾鍙颁笂涓嬪簳闈㈢殑鍗婂緞銆備竴銆佸渾鍙扮殑瀹氫箟 鐢ㄤ竴涓钩琛屼簬鍦嗛敟搴曢潰鐨勫钩闈㈠幓鎴渾閿ワ紝搴曢潰涓庢埅闈箣闂寸殑閮ㄥ垎鍙仛鍦嗗彴銆備簩銆佸渾鍙扮殑鎬ц川 1銆佸钩琛屼簬搴曢潰鐨勬埅闈㈡槸鍦嗐2銆佽繃杞寸殑鎴潰鏄瓑鑵版褰3銆佸悓鍒殑妫卞彴涓鏍凤紝鑻ュ畠鏄竴涓渾閿ヤ綋鍦&...
绛旓細鍦嗗彴浣撶Н鍏紡 V=1/3 * 蟺 * h 锛圧^2+Rr+r^2)銆愯绠楁柟娉 鍦嗗彴 鐩稿綋浜 澶у渾閿 鍒囧幓椤剁鐨勫皬鍦嗛敟 銆傚渾閿ヤ綋鐨勪綋绉細 V=1/3 * 蟺 * h * r^2 鍋囪锛屽渾鍙板簳闈㈠崐寰勪负 R 锛岄《闈㈠崐寰勪负 r 锛屽彴楂 h 锛 鍒欏亣璁剧殑澶у渾閿ヤ綋绉 V1=1/3 * 蟺 * h1 * R^2 锛涘皬鍦嗛敟鐨勪綋绉 V2=1/...
绛旓細鍦嗗彴鐨勪綋绉绠楀叕寮忎负锛歏=蟺h锛圧1^2+R2^2+R1*R2锛銆傚叾涓環涓哄渾鍙伴珮搴︼紝R1鍜孯2鍒嗗埆涓哄渾鍙扮殑涓婂簳鍜屼笅搴曞崐寰勩傚渾鍙扮殑浣撶Н鍙互鐪嬩綔鏄敱涓や釜鍦嗛敟缁勬垚鐨勶紝涓涓渾閿ョ殑搴曢潰鍗婂緞涓篟1锛岄珮涓篽锛屽彟涓涓渾閿ョ殑搴曢潰鍗婂緞涓篟2锛圧2=R1+d锛夛紝楂樹篃涓篽銆傚叾涓璬涓哄渾鍙扮殑涓嬪簳闈㈠崐寰勪笌涓婂簳闈㈠崐寰勪箣宸傚渾鍙扮殑浣...
绛旓細鍦嗗彴浣撶Н鍏紡锛歏=1/3 * 蟺 * h (r^2+rr+r^2)鍏紡涓璻涓轰笂搴曞崐寰勩丷涓轰笅搴曞崐寰勩乭涓洪珮銆傚渾鍙扮殑琛ㄩ潰绉叕寮忥細S=蟺r²+蟺R²+蟺Rl+蟺rl=蟺(r²+R²+Rl+rl) r-涓婂簳鍗婂緞銆丷-涓嬪簳鍗婂緞銆乭-楂樸乴鈥旀瘝绾=鏍瑰彿涓媅(R-r)²+h²]...
绛旓細鍦嗗彴鐨勪綋绉叕寮忔槸V= [S+S鈥+鈭 (SS鈥)]h梅3=蟺h (R^2+Rr+r^2)/3锛屽叕寮忎腑r涓轰笂搴曞崐寰勩丷涓轰笅搴曞崐寰勩乭涓洪珮銆傚渾鍙帮紙Frustum of a cone锛夊悓鍦嗘煴鍜屽渾閿ヤ竴鏍蜂篃鏈夎酱銆佸簳闈佷晶闈㈠拰姣嶇嚎锛屽苟涓旂敤鍦嗗彴鍙拌酱鐨勫瓧姣嶈〃绀哄渾鍙般傜敤涓涓钩琛屼簬鍦嗛敟搴曢潰鐨勫钩闈㈠幓鎴渾閿ワ紝搴曢潰涓庢埅闈箣闂寸殑閮ㄥ垎鍙仛鍦嗗彴...
绛旓細鍦嗗彴鐨浣撶Н鍏紡鏄疺=[S+S鈥+鈭(SS鈥)]h梅3=蟺h(R^2+Rr+r^2)/3锛屽叕寮忎腑r涓轰笂搴曞崐寰勩丷涓轰笅搴曞崐寰勩乭涓洪珮銆傚渾鍙帮紙Frustum of a cone锛夊悓鍦嗘煴鍜屽渾閿ヤ竴鏍蜂篃鏈夎酱銆佸簳闈佷晶闈㈠拰姣嶇嚎锛屽苟涓旂敤鍦嗗彴鍙拌酱鐨勫瓧姣嶈〃绀哄渾鍙般傜敤涓涓钩琛屼簬鍦嗛敟搴曢潰鐨勫钩闈㈠幓鎴渾閿ワ紝搴曢潰涓庢埅闈箣闂寸殑閮ㄥ垎鍙仛鍦嗗彴銆
绛旓細鍦嗗彴鐨浣撶Н鍏紡锛氾紝鍏朵腑r鏄笂搴曢潰鍗婂緞锛孯鏄笅搴曢潰鍗婂緞銆傚渾鍙扮殑琛ㄩ潰绉叕寮忥細S=蟺r²+蟺R²+蟺Rl+蟺rl=蟺(r²+R²+Rl+rl)r锛嶄笂搴曞崐寰勩丷锛嶄笅搴曞崐寰勩乭锛嶉珮銆乴鈥旀瘝绾=鏍瑰彿涓媅锛圧-r锛²+h²]鍦嗗彴鐨勫簳闈㈠拰椤堕潰杩戜技鏃讹紝鍦嗗彴浣撶Н鍙繎浼间负锛氬渾鍙扮殑搴曢潰闈㈢НS1...
绛旓細鍦嗗彴浣撶Н璁＄畻鍏紡 涓涓渾鍙颁綋鐨勪綋绉彲浠ラ氳繃涓嬮潰鐨勫叕寮忔潵璁＄畻锛氫綋绉 = (1/3)蟺[(r1^2 + r2^2 + 鈭(r1^2 * r2^2)) * h]鍏朵腑锛歳1 鏄渾鍙扮殑涓婂崐寰勶紱r2 鏄渾鍙扮殑涓嬪崐寰勶紱h 鏄渾鍙扮殑楂樺害銆傛暟瀛 鍦嗗彴浣撶Н璁＄畻涓句緥 璁╂垜浠妇涓緥瀛愭潵璇存槑濡備綍浣跨敤杩欎釜鍏紡銆傚亣璁炬垜浠湁涓涓渾鍙帮紝涓婂崐寰勪负 5 ...
绛旓細鍦嗗彴鐨浣撶Н鍏紡鏄疺=(1/3)蟺h(r^2+Rr+R^2)銆傜煡璇嗘嫇灞曪細浣撶Н锛屽嚑浣曞涓撲笟鏈銆傚綋鐗╀綋鍗犳嵁鐨勭┖闂存槸涓夌淮绌洪棿鏃讹紝鎵鍗犵┖闂寸殑澶у皬鍙仛璇ョ墿浣撶殑浣撶Н銆備綋绉殑鍥介檯鍗曚綅鍒舵槸绔嬫柟绫炽備竴缁寸┖闂寸墿浠跺強浜岀淮绌洪棿鐗╀欢閮芥槸闆朵綋绉殑銆備腑鍥斤紝涔熸槸涓栫晫涓婃渶鏃╁緱鍑璁＄畻鐞冧綋绉纭叕寮忕殑鏄崡鏈濇暟瀛﹀绁栧啿涔嬶紝姣旀娲蹭汉绾︽棭涓...
绛旓細鏍规嵁楂樹笁缃戣祫鏂欙紝鍦嗗彴浣撶Н鐨璁＄畻鍏紡鏄疺=1/3蟺h锛坮2+R2+rR锛夈傚湪鍏紡涓紝鍦嗗彴鐨勪笂銆佷笅搴曢潰鐨勫崐寰勫垎鍒槸r銆丷锛岄珮鏄痟銆傚鏋滄部涓涓洿瑙掓褰㈠瀭鐩翠簬搴曡竟鐨勮叞鏃嬭浆涓鍛紝灏嗗緱鍒颁竴涓渾鍙般傚渾鍙颁换鎰忎袱鏉℃瘝绾垮欢闀垮悗浜や簬涓鐐广傚渾鍙扮殑鎬ц川锛氬钩琛屼簬搴曢潰鐨勬埅闈㈡槸鍦嗭紝杩囪酱鐨勬埅闈㈡槸绛夎叞姊舰銆傚悓鍒殑妫卞彴涓鏍凤紝...
