What is the probability of choosing a point inside a cylinder but not inside the cone that has the same base and height as the cylinder?
Answer (2)
T h e co n e t ha t ha s t h e s am e ba se an d h e i g h t a s t h e cy l in d er s t a t es 3 1 o f t h e cy l in d er . T h e p ro ba l i t y o f c h oos in g a p o in t in s i d e a cy l in d er n o t in s i d e t h e co n e i s e q u a l t o 3 2 .
The probability of choosing a point inside a cylinder but outside a cone with the same base and height is 3 2 . This result is derived by calculating the volumes of both shapes and finding the ratio. Thus, a point selected randomly in the cylinder has a 66.67% chance of being outside the cone.
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