How many cubic feet are in the volume of a round swimming pool which is 16 feet in diameter and 4 feet deep throughout? Express your answer in terms of pi.
A "round swimming pool" is actually a cylinder, whose volume is
V = πr²D (in cubic feet)
where
r=radius of pool (in feet)
D=depth of pool (in feet)
Radius is 25' death of 4' what's how mmik uch material do I need ?
To calculate the volume of a round swimming pool, you can use the formula for the volume of a cylinder. The formula is:
Volume = π * r^2 * h
Where:
- π is a mathematical constant approximately equal to 3.14159
- r is the radius of the pool (which is half the diameter)
- h is the height of the pool (depth)
Given that the diameter of the swimming pool is 16 feet, the radius (r) is half of that, so r = 16 / 2 = 8 feet.
The height (h) of the pool is given as 4 feet.
Now we can substitute the values into the formula and calculate the volume:
Volume = π * r^2 * h
Volume = π * 8^2 * 4
Volume = π * 64 * 4
Volume = π * 256
So, the volume of the round swimming pool is 256π cubic feet.
To find the volume of a round swimming pool, you can use the formula for the volume of a cylinder. The formula is V = πr^2h, where V represents the volume, π is a mathematical constant approximately equal to 3.14, r is the radius of the cylinder's base, and h is the height of the cylinder.
First, you need to find the radius of the pool since you are given the diameter. The radius is calculated by dividing the diameter by 2. Thus, the radius (r) of the pool is 16 feet / 2 = 8 feet.
Next, you need to calculate the volume using the formula V = πr^2h. For the given pool dimensions, the height (h) of the pool is consistently 4 feet throughout.
Substituting the values into the formula, V = π (8 feet)^2 * 4 feet.
V = π * 64 square feet * 4 feet.
V = π * 256 cubic feet.
Therefore, the volume of the round swimming pool is expressed as 256π cubic feet.