SOLUTION: Hello there I came across this problem set that I dont understand how it came about with the solution. Pls help Find the exact volume of sphere ( looks like half a sphere) wi

Question 712608: Hello there
I came across this problem set that I dont understand how it came about with the solution. Pls help
Find the exact volume of sphere ( looks like half a sphere) with a radius of 8ft
the answer is: 1024/3 pi cu ft. How did this happen?
Thanks
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
Volume of a sphere is:
(4/3)(pi)r^3
if you have HALF of a sphere:
(1/2)(4/3)(pi)r^3
(2/3)(pi)r^3
.
plug in our radius:
(2/3)(pi)(8)^3
(2/3)(pi)(512)
(1024/3)(pi) cubic feet

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