SOLUTION: Good day! Can you please help me solve this problem? If the slant height of the cone is 16 inches and the total area is 120π in^2, find the length of the cone. Thank y

Algebra ->  Bodies-in-space -> SOLUTION: Good day! Can you please help me solve this problem? If the slant height of the cone is 16 inches and the total area is 120π in^2, find the length of the cone. Thank y      Log On


   



Question 1005913: Good day! Can you please help me solve this problem?

If the slant height of the cone is 16 inches and the total area is 120π in^2, find the length of the cone.
Thank you!

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
If the slant height of the cone is 16 inches and the total area is 120π in^2, find the length of the cone.
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Total = lateral area + base
= pi*r*sh + pi*r^2 = 120pi
r*16 + r^2 = 120
r^2 + 16r - 120 = 0
r = -8 + 2sqrt(46) inches
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sh%5E2+=+r%5E2+%2B+h%5E2
Solve for h