Question

Can u plz check my answer?

Answer 1

Aran moved a cone-shaped pile of sand that had a height of 6 ft and a radius of 3 ft. He used all of the sand to fill a cylindrical pit with a radius of 6 ft.

How high did the sand reach in the pit?
Use 3.14 to approximate pi and express your final answer in tenths.

___ft

I got 42.9ft

Answer 2

First, find the volume of cone, using the formula \[V=\Pi*r*l\], were r is radius and l is slanting height. What do you get, replacing the values?

Answer 3

Thats what I did and got 42.9 is it right or no?

Answer 4

Wait. To find the slanting height, you have to use Pythagoras Theorem, because
\[l=\sqrt{side1^{2} + side2^{2}}\] or \[\sqrt{6^{2}+3^{2}}\]= 6.71ft.

Back to V=3.14*3*6.71=63.2 ft^3. Got this part for now?