What is the theoretical probability of rolling a 2

The Given plane region is missing attached below is the plane region

answer : 24 π  or 75.40 sq. units

Step-by-step explanation:

Given data :

Height of plane region = 3

base of plane region  = 4

When we revolved the plane region completely we will we forming a cone hence we will calculate for the surface area of a cone

Radius of the new cone = 3

Height of the cone = 4

slant height of the cone ( l )  =  = 5

surface area of cone = πr^2 + πrl

                                   = π ( 3 )^2  + π (3 ) ( 5 )

                                   = 24 π  or 75.40 sq. units