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melomori [17]
2 years ago
13

A tank in the shape of a hemisphere has a radius of 15 feet. If the liquid that fills the tank has a density of 97 pounds per cu

bic foot, what is the total weight of the liquid in the tank, to the nearest full pound?​
Mathematics
1 answer:
IceJOKER [234]2 years ago
5 0

Answer:

  685,653 lb

Step-by-step explanation:

The weight of the liquid can be found by multiplying its volume by its density. The volume will be that of a hemisphere, which can be found using the appropriate formula.

<h3>Hemisphere volume</h3>

The volume of a hemisphere with radius r is given by ...

  V = (2π/3)r³

When the radius is 15 ft, the volume is ...

  V = (2π/3)(15 ft)³ = 2250π ft³

<h3>Weight</h3>

The weight of the liquid in the tank is found using the density.

  W = ρV

  W = (97 lb/ft³)(2250π ft³) = 218250π lb ≈ 685,653 lb

The total weight of the liquid in the tank is about 685,653 pounds.

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