How many cubic feet are inthe volume of a round swimming pool which is 16 feet in diameter and 4 feet deep throughout? Express your answer in tterms of pi.

what is the volume of a cylinder? take the area of a circle and multiply by the height.

i.e. V=(pi)*(r^2)*(h)

FYI: diameter=(1/2)*(r)

http://www.mathsteacher.com.au/year9/ch14_measurement/18_cylinder/cylinder.htm

opps

r=(1/2)*diameter

To find the volume of a round swimming pool, you can use the formula for the volume of a cylinder, which is given by V = πr^2h, where V is the volume, r is the radius of the circular base, and h is the height or depth of the cylinder.

Given that the swimming pool has a diameter of 16 feet, you can find the radius by dividing the diameter by 2: r = 16/2 = 8 feet.
The depth of the pool is 4 feet.

Now we can substitute these values into the formula to find the volume:
V = π(8^2)(4)
V = π(64)(4)
V = π(256)
V = 256π cubic feet.

So, the volume of the round swimming pool is 256π cubic feet.