Answer :
The estimated volume of water that the spherical tank can hold using given diameter and thickness is equal to d. 106 cubic feet.
Outer diameter of a spherical tank = 6 feet
Thickness of tank using material = 4 inches
To estimate the volume of water that a spherical tank can hold,
Consider the internal dimensions of the tank.
The outer diameter of the tank measures 6 feet.
Since the tank has a material thickness of 4 inches,
Subtract twice this thickness from the outer diameter to obtain the internal diameter.
Internal diameter = Outer diameter - 2 × Material thickness
= 6 feet - 2 × (4 inches / 12 feet per inch)
= 6 feet - 2 × (1/3) feet
= 6 feet - (2/3) feet
= 5 1/3 feet
Now that we have the internal diameter,
calculate the radius of the tank,
Radius
= Internal diameter / 2
= (5 1/3 feet) / 2
= 2 2/3 feet
To find the volume of the tank, use the formula for the volume of a sphere,
Volume = (4/3) × π × Radius³
= (4/3) × 3.14159 × (2 2/3 feet)³
≈ 106 cubic feet
Therefore, the estimated volume of water that the spherical tank can hold is approximately d. 106 cubic feet.
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