I need help on this math problem... i can not figure it out please help?

Question

http://i35.tinypic.com/j794xu.jpg

Can you help me with this problem?

Answer 1

you need to separate the 2 areas into the triangular part, and the "pie" -piece

we know height is 8 meters.

so volume of anything is base * height...

area for a circle is   pi* r^2      pi = 3.1415....

               radius = 4

(triangle)  

Base:   Area of triangle = 1/2 base * height

             A =  1/2 (4)  (7)      =   14

         so volume = base * height  =  14 (8) = 112

(pie piece)

base:     Area of pie piece = 3.1415*4^2 = 50.24     BUT that's the whole area,  you only want a portion of it that's equal to 60 degree.  Which is just 1/6 of a circle (360)   so you have 50.24*(1/6) = 8.3733333

then you take the 8.37333 and multiply it by the height (8m)  and you'll get 66.9866666666

then for the total area of the whole thing, you add the 2 volumes that you've got:       66.98666666  +   112  

equals:     178.98666666667   units^3

good luck