Multiple choice

Which information are necessary to answer the questions asked- A metal block of density ‘D’ and mass ‘M’, in the form of a cuboid, is beaten into a thin square sheet of thickness ‘t’, and rolled to form a cylinder of the same thickness. Find the inner radius of the cylinder– Statement I : Cuboid has dimensions 10cm x 5 cm x 12 cm Statement II : Thickness ‘t’ = 1.5cm Statement III : Mass of block, M = 216kg

  1. All three together are not sufficient

  2. All three together are sufficient

  3. I and II together are sufficient

  4. II and (I or III) are sufficient

  5. III or (I and II) are sufficient
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Statement I gives cuboid dimensions (volume = 10×5×12 = 600 cm³). Statement II gives sheet thickness (t = 1.5 cm). From volume and thickness, we can find sheet area = 600/1.5 = 400 cm², then side of square = √400 = 20 cm. When rolled into a cylinder, the square's circumference = 20 cm, so 2πr = 20, giving r = 10/π cm. Mass (Statement III) is irrelevant to the geometry.

Keep practicing — related questions