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·(142+(14+15)1+152)
= π·(196+29·1+225)
= π·(196+29+225)
= 450·π
=
1413.675
a: The area of the entire surface of a truncated cone with the radius of the lower base R = 14, with the radius of the upper base r = 15, and the generative L = 1 equal to 1413.675