If a spherical tank 6 m in diameter can be filled with a liquid for $800, How do you find the cost to fill a tank 18 m in diameter?

Answer 1

#$21,600#

Volume varies as the cube of linear dimensions (for objects with similar geometrical properties).

Therefore the volume of an 18 m sphere is #(18/6)^3=3^3=27# times that of a 6 m sphere and, as such, the cost of filling the 18 m sphere should be #27# times greater: #27xx$800= $21600#
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Answer 2

Since the cost to fill a spherical tank is directly proportional to its volume, and volume is determined by the cube of the diameter, the cost to fill a tank with three times the diameter would be 27 times the cost of the original tank. Therefore, to find the cost to fill a tank 18 m in diameter, you would multiply 800by27,resultinginacostof800 by 27, resulting in a cost of 21,600.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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