Question

A half-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

Answer 1

Answer:

$D=13.8\ ft$

Step-by-step explanation:

we know that

If the tank half-filled with water is at 20 feet, then the height of the tank is 40 feet

The volume of the cylindrical tank is equal to

$V=\pi r^{2}h$

we have

$h=40\ ft$

$V=6,000\ ft^{3}$

assume

$\pi =3.14$

substitute and solve for r

$6,000=(3.14)r^{2}(40)$

$r^{2}=6,000/[(3.14)(40)]$

$r=6.9\ ft$

Find the diameter

Remember that the diameter is two times the radius

$D=6.9*2=13.8\ ft$