Question

If the height of a cylinder becomes ¼ of the original height and the radius is doubled, then which of the following will be true?​

Answer 1

Answer:

Step-by-step explanation:

Volume of the cylinder will remain unchanged. We know that, the volume of a cylinder having base radius r and height h is  V = πr  

2

h

Now, if the radius is doubled (r=2r) and the new height is  

1/4  

th

 of the original height (h=  

4

1

​  

h )

So, the new volume would be=

V= π(2r)  

2

×  

4

1

​  

h = π(2r)  

2

h=V  

Hence, the new volume of cylinder is same as the original volume.