2 Answers

Taurus · Answer 1 · 2020-07-23T23:40:54+0000

Answer:

The height of cylinder B is 3.50 centimeters.

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

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

$Volume=\pi r^2h.$

176=3.14* 4^2* h. (Taking the value of π=3.14.)

176=3.14* 16* 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.

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