Question

These two cylinders are congruent
Cylinder A
Cylinder A has a radius of 4 centimeters, Cylinder B
has a volume of 176 cubic centimeters. What is the
height of cylinder B?
h = cm
Cylinder B
r = 4 cm
V = 176
cm

Answer 1

Answer:

The height of cylinder B is 3.50 centimeters.

Step-by-step explanation:

Given:

These two cylinders are congruent.

Cylinder A has a radius of 4 centimeters.

Cylinder B  has a volume of 176 cubic centimeters.

Now, to find the height of cylinder B.

As given the cylinders A and B are congruent.

Thus, the cylinder A has a radius 4 centimeters that will be same of the cylinder B.

So, the radius of cylinder B(r) = 4 centimeters.

And the volume of cylinder B = 176 cubic centimeters.

Let the height be $h.$

Now, to get the height of cylinder B we put formula:

$Volume=\pi r^2h.$

$176=3.14\times 4^2\times h.$ (Taking the value of π=3.14.)

$176=3.14\times 16\times h.$

$176=50.24h$

Dividing both sides by 50.24 we get:

$3.50=h.$

Height = 3.50 centimeters.

Therefore, the height of cylinder B is 3.50 centimeters.

Answer 2

Answer:

11 cm

Step-by-step explanation:

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