Question

if both radius and height of a cylinder are doubled then new volume will be – – time then original volume ​

Answer 1

Answer:

Step-by-step explanation:

In order to find the volume of a cylinder, you would use the formula V=3.14*r2*h.  In the formula, the radius is being squared.  That means that doubling the radius of the cylinder will quadruple the volume.  For example, let's say we have a cylinder with a radius of 2 inches and height of 3 inches.  The volume would be 3.14*22*3 = 3.14*4*3 = 37.68 in2.  However, doubling the radius would have this effect: 3.14*42*3 = 3.14*16*3 = 150.72 in2.  That is four times as large as the original volume.  Now, because the height is not squared in the original formula, doubling the height of a cylinder will just double the volume.  If we put all of that information together (doubling the radius quadruples the volume, while doubling the height doubles the volume), we find that the volume will be 8 times as large.  This is because the radius multiplies the volume by four and the height multiplies the volume by 2, and 4*2=8.

Answer 2

Answer:

The new volume will be 8 times the original volume.

Step-by-step explanation:

Given,

The radius and height of the cylinder are doubled.

To find,

The relation between the new volume and the original volume

Recall the formula

The volume of the cylinder = πr²h, where 'r' is the radius and 'h' is the height of the cylinder.

Solution:

The volume of the cylinder = V = πr²h

When radius and height is doubled,

The new radius will be '2r' and the new height will be '2h'.

Let the V' be the new volume.

V' =  π×(2r)²×(2h) = π×4r²×2h= 8×πr²h = 8V

That is V' = 8V

That is, the new volume will be 8 times the original volume.

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