Question 1005913
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^2 = r^2 + h^2}}}
Solve for h