SOLUTION: Given that total surface area is 96pi(2 deciimal places 301.59) and the slant height l is 10 can you find me r?or h?Doesn't matter which one is it as I will be able to work out the

Algebra ->  Surface-area -> SOLUTION: Given that total surface area is 96pi(2 deciimal places 301.59) and the slant height l is 10 can you find me r?or h?Doesn't matter which one is it as I will be able to work out the      Log On


   

Question 955391: Given that total surface area is 96pi(2 deciimal places 301.59) and the slant height l is 10 can you find me r?or h?Doesn't matter which one is it as I will be able to work out the other one.Thanks!
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
A=area=96(pi); r=radius; s=slant height=10
A=%28pi%29rs%2B%28pi%29r%5E2
A=%28pi%29r%28s%2Br%29
96%28pi%29=%28pi%29r%2810%2Br%29 Divide each side by pi.
96=r%2810%2Br%29
96=r%5E2%2B10r Subtract 96 from each side.
0=r%5E2%2B10r-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%28s%5E2-r%5E2%29
h=sqrt%28100-36%29
h=sqrt%2864%29=8 ANSWER 2: Height is 8.