Amachine starts dumping sand at the rate 20 m^3/min, forming a pile in the shape of a cone. the height of the pile is always twice the length of the base diameter. after 5 minutes, what is the height of the pile? include steps.

11.52 meters.

Step-by-step explanation:

At the rate of 20 m^3/min, a machine is dumping sand, forming a pile of the shape of a cone.  

Therefore, in 5 minutes it will dump (20 × 5) = 100 m³.

Now, the length of the base diameter is always half of the height of the pile.

Let the height after 5 minutes is h meters.

So, h = 2(2r) = 4r {Where, r is the radius of the cone after 5 minutes} ........ (1)

Now, volume of a cone is given by

⇒ {From equation (1)}

⇒

⇒ h = 11.52 meters. (Answer)

x=17

step-by-step explanation:

solve 3x-24=x+10

then that makes it 2x=34 because you subtract an x from both sides to get rid of the one on the right, and then you add 24 to both sides to get rid of the 24 on the left

divide by both sides by 2 to get your answer so that you can get your answer