SOLUTION: The lateral area of a right circular cone is 416.27 cm² .Its altitude is 2/3 of its radius. Determine the radius of the cone.
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Question 1085023: The lateral area of a right circular cone is 416.27 cm² .Its altitude is 2/3 of its radius. Determine the radius of the cone.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
let r = the radius of the cone
then
r = the height of the cone
:
Area formula A =
= 416.27
= 416.27
= 416.27
extract the squares
= 416.27
multiply both sides by 3
= 1248.81
divide both sides by the sq root of 13
divide both sides by pi
r^2 = 110.25
r =
r = 10.5 cm is the radius of the cone
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