A truncated cone is a part of a cone located between its base and a secant plane parallel to the base.
The formula for the area of the entire surface of the cone
where R is the radius of the lower base,r is the radius of the upper base, L is the length of the generatrix.
A truncated cone is a part of a cone located between its base and a secant plane parallel to the base.
The formula of the area of the lateral surface of the cone
where R is the radius of the lower base,r is the radius of the upper base, L is the length of the generatrix.
Solution:
S = π·(R2+(R+r)L+r2)
= π·(32+(3+6)9+62)
= π·(9+9·9+36)
= π·(9+81+36)
= 126·π
=
395.829
a: The area of the entire surface of a truncated cone with the radius of the lower base R = 3, with the radius of the upper base r = 6, and the generative L = 9 equal to 395.829