Question

A rectangular piece of paper 12 cm× 5 cm is folded without overlapping to make a cylinder of height 4 centimetre find the volume of the cylinder

Answer 1

Answer:

The volume of the cylinder is approximately 45.76 cubic cm.

Step-by-step explanation:

To find the volume of the cylinder, we need to first find the radius of the circular base.

Whn the rectangular paper is folded into a cylinder, the length becomes the circumference of the circular base. So, we have:

circumference = length of rectangle = 12 cm

The formula for the circumference of a circle is:

circumference = 2πr

where r is the radius of the circle.

Substituting the value of the circumference, we get:

12 = 2πr

r = 6/π cm

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

V = πr^2h

where h is the height of the cylinder.

Substituting the values, we get:

V = π(6/π)^2(4) = 144/π cubic cm (approx. 45.76 cubic cm)

Therefore, the volume of the cylinder is approximately 45.76 cubic cm.

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