Problema Solution
A tin man has a head that is a cylinder with a cone on top. The height of the cylinder is 12 inches and the slant height of the cone is 6 inches. The radius of both the cylinder and the cone is 4 inches. What is the surface area of the tin man's head in terms of pi?
Answer provided by our tutors
the surface area of the tin man's head = the surface of the cylinder without the bases + the surface of the cylinder without base
A = 2 r pi H + (1/2) 2 r pi * h
r = 4 in the radius of both the cylinder and the cone
H = 12 in the height of the cylinder
h = 6 in the slant height of the cone
A = 2*4*pi*12 + (1/2)*2*4*pi*6
A = 96pi + 24pi
A = 120pi in^2
the surface area of the tin man's head in terms of pi is 120pi in^2.