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Avery is measuring two cylinders. Given the volume V and the base radius r of the first cylinder, Avery uses the formula h=(V)/(πr^2) to compute its height h to be 24 centimeters. The second cylinder has the same volume, but has 2 times the radius. What is its height?​

Respuesta :

Answer:

6cm

Step-by-step explanation:

KHAN

The height of the second cylinder will be 6 centimeters.

What is a cylinder?

A cylinder is a combination of infinite circles with the same radius and keeps one up to up.

In other meaning, a cylinder becomes a circle that extends through a finite length.

The surface area of the cylinder = πdh where h is the height of the cylinder and d is the diameter of the cylinder.

The volume of the cylinder =  (π/4)d²h

Given,

The height of a cylinder is given by

h = (V)/(πr²)

Now in the second cylinder, we have double the radius so r will convert into 2r

So, the new height

h' = (V)/[π(2r)²]

h' = (1/4)(V)/(πr²)

h' = (1/4)h

So,

h' = 24/4 = 6 centimeter.

Hence, The height of the second cylinder will be 6 centimeters.

To learn more about cylinders,

https://brainly.com/question/16134180

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