Multiple choice

A square plate of side $44$ cm is made into a cylinder by joining two edges of it. Find the base area of the cylinder formed (in $\displaystyle cm^{2}$)

  1. $77$
  2. $154$
  3. $38 . 5$
  4. $308$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The side of the square is 44 cm. When joined to form a cylinder, the circumference of the base is 44 cm. 2 * pi * r = 44. r = 44 / (2 * 22/7) = 7. Base area = pi * r^2 = 22/7 * 7 * 7 = 154.

AI explanation

When the square plate is rolled into a cylinder, its side of 44 cm becomes the circumference of the base, meaning 2(pi)r = 44, so the radius r = 7 cm. The base area of the cylinder is (pi)(r^2), which calculates to (22/7) times 7 squared, resulting in 154 square cm.