A cylinder shaped container has a radius of 30 cm and a height of 100cm. A glass sphere with a radius of 12 cm is placed inside the cylinder shaped container and then the container is completely filled with water.
What is the approximate volume of the water contained in the cylinder?
Use 3.14 to approximate for π
I am editing this because Lagtho correctly pointed out I used a cone instead of a cylinder !!
cone volume - sphere volume = water volume
CYLINDER volume - sphere volume = water volume
pi r^2 h - 4/3 pi r^3 = water vol (this assumes the water can squeeze past the sphere to fill the tip of the cone)
pi 30^2 100 - 4/3 pi 12^3 = water vol
= 275365 cm^3
This is good, but you used the formula for a cone, not a cylinder.
Cylinder - Sphere = Remaining volume.
Cylinder = pi r^2 * h = pi 900 * 100 = 90,000 pi
Sphere = (pi r^3 * 4)/3 = (pi 1728 * 4)/3 = 2304pi
Remaining volume = 87696 pi = 275,365.44 cm^3