Site icon Noon Academy

A solid piece of iron in the form of a cuboid of dimensions 49cm × 33cm × 24cm, is moulded to form a solid sphere. The radius of the sphere is (A) 21cm (B) 23cm (C) 25cm (D) 19cm

(A) 21cm

As we probably are aware,

Volume of cuboid = lbh

Where, l = length, b = broadness and h = tallness

For given cuboid,

Length, l = 49 cm

Broadness, b = 33 cm

Tallness, h = 24 cm

Volume of solid shape

   

Presently,

Leave the range of 3D square alone r.

As volume of circle

   

Where r = range of circle

Too,

Volume of cuboid = volume of circle formed

Along these lines,

   

   

   

   

   

Consequently, sweep of circle is 21 cm