Question

If the radius of a cylinder is r and the height is h,how will the volume change,if the a) Height is doubled b) Height is doubled and the radius is halved. c) Height is same and the radius is halved.
I will tell you the answer in the comment section.
Reply me the answer first.

Answer 1

Answer:

Step-by-step explanation:

Hi,

1) Dimensions of the cylinder

radius = r

Height = h

i ) curved surface area

(CSA) = 2πrh----( 1 )

ii ) volume (v) = πr² h ---( 2 )

2 ) if radius doubled and radius

halved then new cylinder

dimensions are

Radius ( R ) = 2r

Height ( H ) = h /2

New CSA = 2 × π × ( 2r ) × h / 2

= 2πrh

Therefore ,

There is no change in csa .

Zero percent change in csa.

New volume ( V ) = π× (2r)² × ( h / 2 )

= 2πr²h

= 2 × v

Therefore ,change in volume is

100%

I hope this helps you.

:)

Answer 2

a)if height is doubled volume will also be doubled.
b)if height is doubled and radius is halved volume also will be halved
c)if height is same and the radius is halved volume will be 1/4 times the original volume.


Hope this helps:)