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zaharov [31]
3 years ago
8

A hemispherical tank is filled with water and has a diameter of 14 feet. If water

Mathematics
1 answer:
tigry1 [53]3 years ago
3 0

Answer:

44,826.72\ \text{pounds}

Step-by-step explanation:

Given that,

The diameter of a hemispherical tank= 14 feet

Radius, r = 7 feet

water

Water weighs 62.4 pounds per cubic foot.

We need to find the total weight of the water in a full tank to the nearest pound.

The volume of the hemisphere is given by :

V=\dfrac{2}{3}\pi r^3\\\\V=\dfrac{2}{3}\pi \times (7)^3\\\\V=718.377\ \text{feet}^3

If water weighs 62.4 pounds per cubic foot, it means

V=718.377\times 62.4\\\\V=44,826.72\ \text{pounds}

So, the total weight of the water is 44,826.72\ \text{pounds}.

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