zone to zone
Geometry
Level
2
A sphere having a radius of 15cm. is cut into 2 segments. The altitude of the first segment is 6cm.. The ratio of the area of zone of the second seggment to that of the first segment can be expressed as a/b. What is a+b?
The answer is 5.
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
1 solution
Area of 1st zone is given by: 2 pi height(altitude given)*radius of sphere. Area of 2nd zone will be: Area of sphere - Area of 1st zone. We get by calculating a/b=(900-180)/180=4/1. Hence a=4 and b=1. Therefore, a+b=5 .