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·(28802+(2880+1165)970+11652)
= π·(8294400+4045·970+1357225)
= π·(8294400+3923650+1357225)
= 13575275·π
=
42646726.413
a: The area of the entire surface of a truncated cone with the radius of the lower base R = 2880, with the radius of the upper base r = 1165, and the generative L = 970 equal to 42646726.413