Anyone know the area of the blue area?

First, find the area of the larger sector (the 360-130=230 degree sector), then add the area of the triangle.
area of the larger sector:(230/360)π*11.1²≈247.17
area of the triangle when two sides and the angle between the two sides are given: (absinФ)/2. In this case, a=11.1, b=11.1, Ф=130
(11.1*11.1*sin130)/2≈47.19
the total area is 247.17+47.19≈294.4
Please use your calculator to double check my numbers.

We know that formula for volume of cone is 1/3 πr² h where r is radius and h is height.

Now we know that r is 2 and volume is 29 so we can set up equation like this:

29 = 1/3 π (2)² h

Now we need to solve for h:

29 = 4/3 π h

Divide both sides by 4/3 π:

29 / (4/3 π) = h

87 / (4π) = h

Use calculator here

h ≈ 6.92675159

Round to nearest hundredth:

h ≈ 6.93

Final 6.93