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
Algebra.Com
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
RELATED QUESTIONS
What is the slant height of a right circular cone whose lateral surface area is 66π... (answered by drk,Greenfinch)
The total surface area of a right circular cone is one and one-half times the lateral... (answered by MathLover1,ikleyn)
The total surface area of a right circular cone is one and one-half times the lateral... (answered by mananth)
The area of the base of a right circular cone is 400pi cm^2. If the slant height is 29... (answered by josgarithmetic)
the total surface area of a cone is 628 Cm2.If its slant height is 17 Cm. find the... (answered by macston)
The circumference of the base of a right circular cone is 40.0 cm and the slant height is (answered by )
The diameter of the base of a right cone is 8 cm. If the total surface area of the cone... (answered by Boreal)
The slant height of a cone is doubled. Does this double the surface area of the cone?... (answered by greenestamps)
the surface area of a cone is 293.2 square feet and the radius is 6.1 feet what is the... (answered by elima)