Ahalf-filled cylindrical water tank has a water level of 20 feet high. the tank can hold 6000 cubic feet of water. find the diameter of the tank in feet to the nearest tenth.

d = 13.8 feet

Step-by-step explanation:

Because we are talking about cubic feet of water, we need the formula for the VOLUME of a cylinder.  That formula is

We will use 3.141592654 for pi; if the tank HALF filled with water is at 20 feet, then the height of the tank is 40 feet, so h = 40; and the volume it can hold in total is 6000 cubic feet.  Filling in then gives us:

Simplify on the right to get

Divide both sides by 125.6637061 to get that

Taking the square root of both sides gives you

r = 6.90988299

But the diameter is twice the radius, so multiply that r value by 2 to get that the diameter to the nearest tenth of a foot is 13.8

1.0

step-by-step explanation: