Question

A hemispherical tank is filled with water and has a diameter of 9 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 1

Step-by-step explanation:

We know that the volume of a sphere is:

V=4/3 pai r^3

where r = 9/2 = 4.5 ft is the radius

we need half of this, so we use:

V/2 = 2/3 pai r^3 = 190.755 ft^3

giving a total weight of water of:

W = 190.755 . 62.4 = 11903.112 pounds