A rectangular sheet of paper 44 cm × 20 cm is rolled along its length and a cylinder isformed. Find the total surface area of cylinder thus formed.

Sure, let's solve this step by step.

Step 1: Identify the given values. The dimensions of the paper are 44 cm x 20 cm. When the paper is rolled along its length, the length becomes the circumference of the base of the cylinder, and the width becomes the height of the cylinder.

Step 2: Calculate the radius of the base of the cylinder. The formula for the circumference of a circle (which is the base of the cylinder) is 2πr = circumference. Here, the circumference is 44 cm. So, we can solve for r (radius): r = circumference / 2π = 44 cm / (2*3.14) = 7 cm (approximately).

Step 3: Calculate the total surface area of the cylinder. The formula for the total surface area of a cylinder is 2πrh + 2πr². Here, r = 7 cm and h = 20 cm. Substituting these values into the formula gives: Total surface area = 23.147 cm20 cm + 23.14*(7 cm)² = 880 cm² + 308 cm² = 1188 cm².

So, the total surface area of the cylinder formed by rolling the paper is approximately 1188 cm².