Aglass cylinder with aradius of 7cm has water up to aheight of 9cm. Ametal cube of 5.5cm edge is immersed in it completely. Calculate the height by which the water rises in the cylinder.

3 answers

When an object is immersed completely in water, the displaced volume of water is equal to the volume of the object.
The volume of cube is given by
V = s^3
where s = side length
Thus,
V = 5.5^3
V = 166.375 cm^3

The volume of cylinder is given by
V = π(r^2)(h)
where
π = 3.14
r = radius
h = height

We substitute the volume of cube to formula of volume of cylinder to solve for height:
166.375 = (3.14)(7^2)(h)
h = 166.375 / (3.14)(49)
h = ?

Units in cm. Hope this helps~ `u`
1.1
1.08m