Multiple choice

The radius of the cylinder whose lateral surface area is $704{cm}^{2}$ and height $8$ cm is:

  1. $6$ cm
  2. $4$ cm
  3. $8$ cm
  4. $14$ cm
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Lateral surface area of cylinder = 2 * pi * r * h = 704. 2 * (22/7) * r * 8 = 704. 44 * 8 * r / 7 = 704. 352 * r / 7 = 704. r = 704 * 7 / 352 = 2 * 7 = 14 cm.

AI explanation

Using the lateral surface area formula for a cylinder, LSA = 2 * pi * r * h, we substitute the known values 704 = 2 * (22/7) * r * 8. Solving this equation gives 704 = (352/7) * r, so r = 14 cm. The radius of the cylinder is 14 cm.