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College
Physics
Advanced Physics

Jesse Freeman

Answered question

2022-12-27

A hemispherical tank is filled with water and has a diameter of 10 feet. If water weighs 62.4 pounds per cubic foot what is the total weight of the water in a full tank to the nearest pound ?

Answer & Explanation

madwindnhe

Beginner2022-12-28Added 7 answers

We are aware that a sphere's volume is:

V = \frac{4}{3} π r^{3}

where

r = \frac{10}{2} = 5 ft

is the radius;
we use: because we only need half of this

\frac{V}{2} = \frac{2}{3} π r^{3} = 261.8 {ft}^{3}

giving a total weight of water of:

W = 261.8 \cdot 62.4 = 16, 336

pounds

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