SOLUTION: a cone cannot have a surface area greater than 1000pi cm^2. what is the largest radius, correct to one decimal place, that will achieve this if the slant height is 20 cm?

Algebra ->  Surface-area -> SOLUTION: a cone cannot have a surface area greater than 1000pi cm^2. what is the largest radius, correct to one decimal place, that will achieve this if the slant height is 20 cm?      Log On


   



Question 815492: a cone cannot have a surface area greater than 1000pi cm^2. what is the largest radius, correct to one decimal place, that will achieve this if the slant height is 20 cm?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,

Question states***
S = pi%2Ar%5E2+%2B+sqrt%28r%5E2%2B+h%5E2%29+%3C+1000%2Apt+cm%5E2
And sqrt%28r%5E2+%2B+h%5E2%29+=+20cm
pi%2Ar%5E2+%2B+20cm+%3C+1000%2Api+cm%5E2
r^2 < 980 |note: 980 = +49%2A10
r+%3C+7sqrt%2810%29 (tossing out negative solution for unit measure