Question Number 35439 by ajfour last updated on 19/May/18
Commented by ajfour last updated on 19/May/18
$${The}\:{radius}\:{of}\:{sphere}\:{is}\:{R}.\:{It} \\ $$$${touches}\:{the}\:{lower}\:{plane}\:{at}\:{A}\:{at} \\ $$$${a}\:{distance}\:{AH}={a}\:{from}\:{line}\:{of} \\ $$$${intersection}\:{of}\:{planes}\:\left({that}\:{make}\:\right. \\ $$$${an}\:{angle}\:\theta\:{with}\:{each}\:{other}.\:{Sphere} \\ $$$${intersects}\:{the}\:{upper}\:{plane}\:{in}\:{a} \\ $$$${circle}\:{of}\:{radius}\:\boldsymbol{{r}}. \\ $$$${Find}\:{r}\:{in}\:{terms}\:{of}\:{a},\:{R},\:{and}\:\theta\:. \\ $$