SOLUTION: The total surface area of a right circular cone is 484π square feet. If the slant height of the cone is three times the length of a radius of the base, find the length of a ra
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Question 1084028: The total surface area of a right circular cone is 484π square feet. If the slant height of the cone is three times the length of a radius of the base, find the length of a radius Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! The total surface area of a right circular cone is 484π square feet.
If the slant height of the cone is three times the length of a radius of the base, find the length of a radius
:
Area of a cone: A = , where
r = the radius
s = the slant height
"the slant height of the cone is three times the length of a radius": therefore:
3r = the slant height
: = =
divide both sides
3r^2 = 484
r^2 = 484/3
r^2 = 161
r =
r = 12.7
