Multiple choice

What is the radius of a cylinder whose lateral surface area is 704 cm2 and height is 4 cm?

  1. 16 cm

  2. 14 cm

  3. 18 cm

  4. 28 cm

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Lateral surface area = 2*pi*r*h = 704. 2 * (22/7) * r * 4 = 704. (176/7) * r = 704. r = 704 * 7 / 176 = 4 * 7 = 28 cm.

AI explanation

Using the curved surface area formula for a cylinder, which is 2 times pi times radius times height, we set up the equation 704 = 2 multiplied by 22/7 multiplied by the radius multiplied by 4. Simplifying the constants gives 704 = 176/7 multiplied by the radius. By multiplying both sides by 7/176, the radius is found to be 28 cm.