Sor attached by a string as shown in the diagram. The distance from the top of the string to the center of the ball is $1\mathrm{.}65$ meters and the angle that the string makes with the vertical is $5\mathrm{.}10.$ The weight of the ball is $2\mathrm{.}70$ N $.$

$2($a$)(5$ points$)$ What is the radius of the ball?

${1\mathrm{.}6}^5$

$q,$