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a cylindrical water tank has a radius of 14.5 feet and the is filled with approximately 4950 cubic feet of water which of the following is the best estimate of depth of the water tank?round your answer to the nearest tenth of a foot.

Respuesta :

Volume of Cylinder = πr²h
Radius r = 14.5 feet
Volume, V =  4950 cubic feet

4950 =  π*14.5²*h

π*14.5²*h = 4950

h =   4950 / (π*14.5²)    Use your calculator with π function

h = 7.494

Therefore height ≈ 7.50 feet to the nearest tenth of a foot. 

The estimate of the depth of the water tank will be 7.50 feet.

The formula that will be used in solving the question will be:

V = πr²h

where,

V = volume = 4950

r = radius = 14.5

π = 3.14

h = height

Therefore, we'll put the values back into the equations and this will be:

V = πr²h

4950 = 3.14 × 14.5² × h

4950 = 660.185h

h = 4950 / 660.185.

h = 7.5

The estimate of the depth of the water tank will be 7.50 feet.

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