Shin C. answered 04/13/20
UCLA Alumni | AP Calc & College Math Specialist (5+ Yrs)
Hi Amorie! Remember that a hemisphere is half of a sphere, so finding the volume of a hemisphere is really just finding half of the volume of a sphere.
Volume of sphere = (4 * π / 3) * r ^ 3 , where r = diameter / 2.
So, volume of hemisphere = volume of sphere / 2 .
Volume of sphere = (4 * π / 3) * (6.7 / 2) ^ 3 = 157.47914.....
Volume of hemisphere = 157.47914....... / 2 = 78.7396..........
So it would approximately be 78.7 cubic feet >>>>>>>>>>>>>>>>>>>>>(ANSWER)
Let me know in the comments for additional help!
Shin C.
And don't forget to divide that answer by two, because the problem asks for the volume of a hemisphere!04/13/20