These two cylinders are congruent. Cylinder A has a radius of 4 centimeters. Cylinder B has a volume of 176π cubic centimeters. What is the height of cylinder B?

It is given that both Cylinders A and B are congruent, thus, Cylinder B also has a radius of 4 centimeters. We now have the volume and the radius, which we will use to get the height of Cylinder B.

r = 4cm

V = 176π cubic cm

From the formula Volume of a cylinder, we can derive a formula to get the height.

From V = πr^2

to h = V/πr^2

h = 176π cubic cm / π (4cm) ^2

We can just eliminate the π since it is both in the denominator and numerator.

h = 176 cubic cm / (4cm) ^2

h = 176 cubic cm / 16cm^2

h = 11cm

The height of Cylinder B is 11cm.