Answer:
The total weight of the water in a full tank, to the nearest pound is 3527 pounds per cubic foot
Step-by-step explanation:
Given:
Diameter of the hemispherical tank = 6 feet
Weight of water per cubic foot = 62. 4 pounds
To Find:
The total weight of the water in a full tank, to the nearest pound?
Solution:
We know that the volume of a sphere is:
where
r = is the radius
In the question we are given with diameter,
So
radius =
Radius = 3
We need the volume of the hemisphere
So the volume of the hemisphere will be half of the volume of teh sphere
Thus the volume of the hemisphere is
Now substituting the values
V= 56.52 cubic foot
Now, the total weight of water of:
W = 56.52 x 62.4
W= 3526.848 pounds per cubic foot
To the nearest pounds
W= 3527 pounds per cubic foot