Question 955391
A=area=96(pi); r=radius; s=slant height=10
{{{A=(pi)rs+(pi)r^2}}}
{{{A=(pi)r(s+r)}}}
{{{96(pi)=(pi)r(10+r)}}} Divide each side by pi.
{{{96=r(10+r)}}}
{{{96=r^2+10r}}} Subtract 96 from each side.
{{{0=r^2+10r-96}}}
(r-6)(r+16)=0
r-6=0, r=6
r+16=0, r=-16 (We can ignore this.)
r=6 ANSWER 1: Radius is 6.
{{{h=sqrt(s^2-r^2)}}}
{{{h=sqrt(100-36)}}}
{{{h=sqrt(64)}}}={{{8}}} ANSWER 2: Height is 8.