Question

A glass cylinder with aradius of 7cm has water up to aheight of gcm. A metal cube of 5.5cm edge is immersed in it completely. Calculate the height by which the water rises in the cylinder.

Answer 1

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`

Answer 2

1.0813