An igloo approximates a hemisphere, with

Question

an entrance tunnel that approximates half
a right cylinder.
The base of the igloo has diameter 4.0 m. The
entrance is 0.8 m long; it has an external radius
of 0.8 m and an internal radius of 0.7 m.
Calculate the surface area of the outside of the
igloo and tunnel.

Answer 1

29

Answer 2

An igloo approximates a hemisphere, with
an entrance tunnel that approximates half
a right cylinder.
The base of the igloo has diameter 4.0 m. The
entrance is 0.8 m long; it has an external radius
of 0.8 m and an internal radius of 0.7 m.
Calculate the surface area of the outside of the
igloo and tunnel.

Answer 3

SA of hemisphere + SA of half lateral cylinder - area semi circle(inner radius) = 8*pi + .64*pi - .245*pi = 8.395*pi