请问圆台的体积公式是什么，谢谢
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圆台体积=1/3×π×高×（上底面半径的平方+下底面半径的平方+上下底面半径的乘积)
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/...
绛旓細鎬讳箣锛鍦嗗彴浣撶Н鍏紡涓篤 = (1/3)πh(R² + Rr + r²)锛屽畠鏄氳繃鍑犱綍瀛﹀拰绉垎璁＄畻鎺ㄥ寰楀埌鐨勩傝繖涓叕寮忓彲浠ユ柟渚垮湴璁＄畻鍦嗗彴鐨勪綋绉紝骞朵笖鍦ㄧ壒娈婃儏鍐典笅鍙互绠鍖栦负鍦嗘煴浣撳拰鍦嗛敟浣撶殑浣撶Н鍏紡銆
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V=1/3蟺h锛坮²锛婻²锛媟R锛夎В閲婏細鍦嗗彴鐨涓娿佷笅搴曢潰鐨勫崐寰勫垎鍒槸r锛孯锛岄珮鏄痟 鍦嗗彴鎬ц川锛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½澶勬埅鏂紝鍒欎笂搴曞崐寰勪篃搴斾负涓嬪簳鐨1/2锛屾埅涓嬮潰绉槸鏁翠釜鍦嗛敟闈㈢Н鐨1/7杩囧渾鍙颁晶闈竴鐐规湁...
绛旓細鍦嗛敟浣撶Н鐨勮绠鍏紡鏄锛歏=1/3Sh锛圴=1/3蟺r^2h锛塖鏄簳闈㈢Н锛宧鏄珮锛宺鏄簳闈㈠崐寰勩鍦嗗彴鏄渾閿ヨ鎴幓涓婇潰灏忓渾閿ラ儴鍒嗘墍褰㈡垚銆傛晠鑰屽叾浣撶Н鐨勮绠楀叕寮忓疄涓轰袱鍦嗛敟浣撶Н璁＄畻鍏紡鐨勭浉鍑忋傛墍浠ュ叾璁＄畻鍏紡涓猴細V(鍦嗗彴)=V(澶у渾閿)-V(琚埅灏忓渾閿)锛屽強锛歏(鍦嗗彴)=1/3蟺锛圧^2H-r^2h锛夛紝鍏朵腑R涓哄渾鍙板簳闈...
绛旓細鍦嗗彴浣撶Н璁＄畻鍏紡 涓涓渾鍙颁綋鐨勪綋绉鍙互閫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 鏄鍦嗗彴鐨涓婂崐寰勶紱r2 鏄渾鍙扮殑涓嬪崐寰勶紱h 鏄渾鍙扮殑楂樺害銆傝鐐瑰嚮杈撳叆鍥剧墖鎻忚堪 璇风偣鍑昏緭鍏ュ浘鐗囨弿杩 璇风偣鍑昏緭鍏ュ浘鐗囨弿杩 鍦嗗彴浣撶Н璁＄畻涓句緥 璁╂垜浠妇涓緥瀛愭潵璇存槑...
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...
绛旓細鍦嗗彴鐨勪綋绉叕寮忔槸V=(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╁緱鍑鸿绠楃悆浣撶Н姝ｇ‘鍏紡鐨鏄崡鏈濇暟瀛﹀绁栧啿涔嬶紝姣旀娲蹭汉绾︽棭涓...
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鍦嗗彴鐨琛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]...
