Question

A hemispherical tank is filled with water and has a diameter of 4 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

The total weight of the water in a full tank, to the nearest pound is 1056 pounds, if water filled with water in the 4 diameter hemispherical tank and weighs 62.4 pounds per cubic foot.

Explanation:

The given is,

A hemispherical tank is filled with water and has a diameter of 4 feet.

Water weighs 62.4 pounds per cubic foot

Step:1

Formula to weight of water is,

= Volume of water tank × weight of water per foot......(1)

Step:2

Formula to find volume of the tank is,

`V = (2)/(3) \pi r^(3)`...................................(2)

From given, r = Radius of Hemisphere

`r = (d)/(2)`

`= (4)/(2)`

r = 2 foot

From equation (2),

=
`(2)/(3)` ×
`\pi` ×
`2^(3)`

= 16.755 cubic foot

Step:3

From equation (1),

= 16.775 × 62.4 (∵ Water weighs 62.4 pounds per cubic foot )

= 1045.52 pounds ( ∵
`foot^(3)` ×
`(pounds)/(foot^(3))` =
`pounds` )

≅ 1046 pounds

Weight of water in tank = 1046 pounds

Result:

The total weight of the water in a full tank, to the nearest pound is 1056 pounds, if a hemispherical tank is filled with water and it has 4 feet diameter and water weighs 62.4 pounds per cubic foot.