geodesic dome is a structure built in an almost spherical shape?a
structure made from struts set on large circles. Because of its curved
walls and ceiling, these domes use approximately a third less surface
area to enclose the same volume as a traditional box home.
(a) A hollow model of similar type of a structure is constructed with a
hemisphere mounted on the cylinder.

Figure 1
If height of cylindrical part is 6 cm, and total height of the model is 13 cm, then
find the radius of hemisphere.
(i) 5 cm (ii) 3 cm (iii) 7 cm (iv) 4 cm
(b) A square band of side 17 cm is put outside along the edge of the
hemisphere as shown in figure 1. Find the area of metal sheet required for