Multiple choice

The radius of the cylinder whose lateral surface area is $80 \pi cm^{2}$ and height is $8$ cm is:

  1. $6$ cm
  2. $5$ cm
  3. $8$ cm
  4. $14$ cm
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Lateral surface area of a cylinder = 2 * pi * r * h. 80 * pi = 2 * pi * r * 8. 80 = 16 * r, so r = 5.

AI explanation

The lateral surface area of a cylinder is given by the formula 2 * pi * r * h. Setting the area to 80 * pi and the height to 8 cm gives the equation 80 * pi = 2 * pi * r * 8. Solving for r yields 16 * r = 80, so the radius is 5 cm.

Keep practicing — related questions