You seem to be unaware of the fact that you could have obtained the answer much more easily and quickly by using the calculator that comes as part of your computer.
The answer is 49.3 cubic units, approx.
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just do it regularly then divide the volume by four when you get the volume answer ============================================================= The original cone is say, 3 cm high and has a radius of 8 cm. the formula is pi times the radius squared times the hight, so pi*64*3=192pi. the second formula is 3*4 squared times pi, so 48pi, which is one fourth of 192 pi.
648pi. (pi = 3.14159...)Area of a circle = (pi) x (radius squared)= (pi)(9 squared) = (pi)81.Area of a cylinder = area of circle x height.= (pi)81 x 8= 648(pi)
-8. alpha x 17.81
You use the formula A=(pi)r^2 solve for r which will give you the square root of A/pi. In your case the area has pi already in it so it is just 2 times the square root of 8.
Area of the sector: 50/360 times pi times 8 squared = 27.925 square cm to 3 dp