Question Number 150596 by mr W last updated on 14/Aug/21
Commented by mr W last updated on 14/Aug/21
$${a}\:{more}\:{challenging}\:{case}:\:\mathrm{3}{D}\:{case} \\ $$$${three}\:{vertex}\:{of}\:{a}\:{tetrahedron}\:{lie}\:{on} \\ $$$${the}\:{coordinate}\:{axes}.\:{the}\:{fourth}\:{one} \\ $$$${lies}\:{on}\:{the}\:{sphere}\:{with}\:{radius}\:{R}\:{and} \\ $$$${center}\:{at}\:{G}\left({p},{q},{r}\right). \\ $$$${find}\:{the}\:{minimum}\:{and}\:{maximum} \\ $$$${volume}\:{of}\:{the}\:{tetrahedron}. \\ $$
Answered by ajfour last updated on 14/Aug/21