Question

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?

Answer 1

The correct answer is:

11

h = 11 cm

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Answer 2

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.