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 F

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:

13.8 ft

Step-by-step explanation:

derive the formula from V = πr²h   into r = √V/ πh

r = √ 6000 ft³/(3.14) (20feet × 2)

r = √ 6000 ft³ / 125.6 ft

r = √47.7707 ft²

r = 6.91164 ft

diameter is twice the value of radius therefore multiply the radius by two.

d = 2 × r

d = 2 × 6.91164 ft

d = 13.8233 ft ≈ 13.8 ft


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