sand is being poured from one container to another. The sand flows from the shaded part to the the unshaded cone. The shaded part is full of sand. The sand empties into the unshaded cone and fills it to the top. What is the height of the unshaded cone?

Question

Shaded = 5cm radius / 4 cm + 2cm height

Unshaded = 6 cm radius

Possible answers are:

6.0 cm
8.3 cm
9.7 cm
12.5

Answer 1

Not sure what that description means, but if it is a cylinder atop a cone of radius 5 and height 4, then its volume is
π/3 * 5^2 * 4 + π * 5^2 * 2 = 250π/3

So, the bottom cone must have the same volume:

π/3 * 6^2 h = 250π/3
36h = 250
h = 250/36 = 6.9 cm

Answer 2

ya umm u said possible answers are 6, 8.3, 9.7 and 12.5 but then u got an answer thats not even one of them. please explain