Answered

A rectangular piece of paper of length 44cm and breadth 20 cm is to be rolled along it's length, to form a right circular cylinder. Find the volume of the cylinder formed

Answer :

Answer:

To find the volume of the cylinder formed by rolling the rectangular piece of paper, we need to consider that the length of the paper will be the circumference of the base of the cylinder, and the breadth will be the height of the cylinder.

Given:

Length of the paper (which will become the circumference of the base of the cylinder) = 44 cm

Breadth of the paper (which will become the height of the cylinder) = 20 cm

First, let's find the radius of the base of the cylinder (r) using the formula for the circumference of a circle:

Circumference = 2πr

Given that the length of the paper (circumference) is 44 cm:

44 = 2πr

Now, solve for r:

r = 44 / (2π) ≈ 7 cm (rounded to two decimal places)

Now, we can find the volume of the cylinder using the formula:

Volume = πr^2h

Where:

r = radius of the base of the cylinder

h = height of the cylinder (which is the breadth of the paper)

Plugging in the values we found:

Volume = π * (7)^2 * 20

Calculating:

Volume ≈ 3080 cubic centimeters

So, the volume of the cylinder formed by rolling the rectangular piece of paper is approximately 3080 cubic centimeters.

Other Questions