A tank in the shape of a hemisphere has a diameter of 26 feet. If the liquid that fills the tank has a density of 96.5 pounds per cubic foot, what is the total weight of the liq…

Question

asked Jan 14, 2023 40.9k views

2 Answers

Leonardkraemer · Answer 1 · 2023-01-15T21:41:27+0000

Answer:

Volume of hemisphere

$( 2\pi r^(3) )/(3)#\\(2*(22/7)(26/2)^(3) )/(3) \\4601.3860 ft^(3)$

$Density=(m)/(v) \\96.5=(m)/(4601.3860) \\m=4601.3860*96.5\\m=444033.749 lbs\\m=444034 lbs\\$

Explanation:

The formula for the volume of a hemisphere is
$( 2\pi r^(3) )/(3)#\\$

Substitute the points and solve.

N.B.
$\pi$ has a value of either 3.14 or
(22)/(7)

You can insert
$\pi$ directly into your calculator

You now have the volume of the hemisphere.

Density (given) is mass (what we are looking for) divided by volume (what we found in the first step)

Substitute the values.

Change subject.

Solve.

Have a nice day. :)