Question

can anyone explain it by step by step please
*A rectangular piece of paper having length 4.4 cm breadth 1.5 cm is to be rolled along its length to form a right circular cylinder. find the height and volume of the right circular cylinder.

Ans is height is 1.5 m
volume is 2.31 cute. m​

Answer 1

Answer:

Hope this helps you.

Rolling along its length, the length becomes the circumference of circle at the end of the cylinder.  The breadth of the paper is then the height of the cylinder.  So...

Height = 1.5 cm

Circumference = 4.4 cm

To get the volume, we use

volume = area of base × height

so first we need the area of the base.  For this, we use

area of circle = π r²

where r is the radius.  So we need to work out the radius.

The relationship between the circumference and the radius is:

circumference = 2 π r

So with circumference 4.4 cm, we get

r = 4.4 cm / 2π ≈ 0.7 cm  (approx)

Now we can get the volume:

volume = area of base × height

= π r² × height

= π × 0.7² × 1.5 cm³

≈ 2.31 cm³   (approx)