00:01
Alright, hi, so we have a hemisphere as an area, well the base of the hemisphere has an area of 256 pi find its volume.
00:07
Okay, so hemisphere means a half a sphere, so think of like there's a circle that's supposed to be a circle and that's like the top of it is a circle then we just have like a it's a big square thing i guess or i don't know so so i think like instead of being a whole circle it's cut off half of it then make it try to look three -dimensional trying it's like drawing up great fruit cut grapefruit okay and the area of this circle is 256 pi so this is the area of a circle so saying the area of the circle is 256 pi notice both sides say pie so we just get rid of that and now i have r squared is 256 and the square root of 256 is 16.
01:12
So that tells me that the radius of this hemisphere is 16.
01:20
Okay, so now i can find the volume.
01:24
So the volume of a sphere is four -thirds pi -r cubed.
01:30
Okay, so if you look up like a volume of a sphere, let's say four -thirds, hemispheres is half a sphere, so instead of four -thirds, it's two -thirds pi -r -cute.
01:38
We know now that the radius is 16...