The number of cubic feet of water that it will take to fill the basin to a level of 1/2 foot from the top is 134 ft³
Calculating the volume of a cylinder
From the question, we are to determine the volume of water needed to fill the cylindrical basin to a level 1/2 foot from the top
Using the formula for calculating the volume of a cylinder
V = πr²h
Where V is the volume
r is the radius
and h is the height
From the given information,
Diameter of the basin = 8 1/4 feet = 8.25 feet
Radius = Diameter / 2
∴ r = 8.25/2 = 4.125 feet
Height of the basin = 3 feet
But, the basin is to be filled to a level of 1/2 foot from the top
Then,
The the basin would be filled up to 3 feet - 1/2 foot = 2 1/2 feet
∴ h = 2 1/2 feet = 2.5 feet
Now, putting the parameters into the equation, we get
V = π × 4.125² × 2.5
V = 133.64
V ≅ 134 ft³
Hence, the number of cubic feet of water that it will take to fill the basin to a level of 1/2 foot from the top is 134 ft³
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