Question

A rectangular sheet of dimensions 33 cm× 18 cm is rolled along its breadth to form a cylinder. Find the radius of the cylinder

Answer 1

Answer:

dimension of rectangle = 33 cm × 18 cm

circumference of cylinder = 2 pie r

33 = 2 × 22/7 × r

33× 7/ 2 × 22= r

21/4 = r

5.25= r

5.25 cm = r

Answer 2

Given:

• Dimension of the rectangular sheet = 33 cm × 18 cm

To Find:

• The radius of the cylinder

Solution:

The formula for the circumference of the cylinder is given as,

circumference of the cylinder = 2πr → {equation 1}

Where "r" is the radius of the cylinder in equation 1.

When a cylinder is rolled along with its breadth, then the breadth of the cylinder will be equal to the height of the cylinder and the length becomes the circumference of the cylinder.

∴ The circumference of the cylinder = 33 cm

Then equation 1 becomes,

⇒ radius = $\frac{circumference}{2*pi}$ = 33/2*(22/7)

(rearranging the terms of the above equation  to get the value of "r")

⇒ r = 231/44 ( multiplying all the values)

⇒ r =  = 5.25 cm

∴ The radius of the cylinder = 5.25 cm.