Question

I attempted this but I was incorrect. Help?

Answer 1

We need the height of the cone
what we do is we know that when height is 10, V=something, so solve for the diameter is at that point and compare it to 24, the full height
sorry if confusing

V=(1/3)hpir^2
when h=10
160pi/3=1/3(10)pir^2
ties 3 both sides
160pi=10pir^2
divide by 10pi
16=r^2
sqrt both sides
r=4

at that point, the radius is 4
the real radius of the ful is 24/2=12
4/12=1/3
it is 1/3 full

if 1/3=160pi/3cm
2/3=320pi/3cm^3

needs 320pi/3 cm^3