Answer:
A point is chosen at random inside the cylinder, then probability the point belongs outside of the spheres is 0.25
Step-by-step explanation:
Let's find volume of the cylinder and volume of the three spheres.
Volume of cylinder =
Volume of sphere =
Now, r =2.7
h=8.1
Find volume of each shape.
Volume of cylinder =
=59.049
Now, volume of 3 spheres =
=78.732
Now, p(E)=
So, Probability of point is chosen at random inside the cylinder which belongs outside of the spheres is
Let's simplify them
0.25
A point is chosen at random inside the cylinder, then probability the point belongs outside of the spheres is 0.25