设圆台上底半径r,下底半径R,高h。圆台的外接球的半径=√(r²+h²-R²-4h²R²)/2h计算过程如下:r²+(h-x)²=R²+x²r²+h²-2hx+x²=R²+x²x=(r²+h²-R²)/(2h)球的半径²=(r²+h²-R²)²/(2h)²+R²=(r²+h²-R²-4h²R²)/(4h²)球的半径=√(r²+h²-R²-4h²R²)/2h。