SOLUTION: The surface area of a right cone is 400.2 m^2. The radius of the cone is 6.0m. Determine the height of the cone to the nearest metre.
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Question 1079630: The surface area of a right cone is 400.2 m^2. The radius of the cone is 6.0m. Determine the height of the cone to the nearest metre.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The surface area of a right cone is 400.2 m^2. The radius of the cone is 6.0m. Determine the height of the cone to the nearest metre.
:
Surface Area of a cone: S.A. = where:
r = the radius
s = the slant height
:
Find the s
= 400.2
divide thru by pi
= 127.3876
6s = 127.324 - 36
6s = 91.3876
s = 91.3876/6
s = 15.23 meter is the slant height
find the height using pythag; h^2 = 15.23^2 - 6^2 (h is the hypotenuse)
h =
h = 14 meters is the height
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