Multiple choice

The surface area of a sphere is 616 sq. cm. The curved surface area of the circumscribed cylinder is

  1. 512 sq. cm

  2. 204 sq. cm

  3. 308 sq. cm

  4. 616 sq. cm

  5. 1032 sq. cm
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Surface area of sphere = 4 * pi * r^2 = 616. r^2 = 616 / (4 * pi) = 154 / pi. For a circumscribed cylinder, height h = 2r and radius = r. Curved surface area = 2 * pi * r * h = 2 * pi * r * (2r) = 4 * pi * r^2 = 616.

AI explanation

The curved surface area of a circumscribed cylinder is equal to the surface area of the sphere it encloses. Given that the surface area of the sphere is 616 sq. cm, the curved surface area of the circumscribed cylinder is 616 sq. cm.

Keep practicing — related questions