Thank you for visiting The outer diameter of a spherical tank measures 6 feet If the tank is made with a material 4 inches thick estimate the volume of. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
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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