Question

A solid iron cuboid of dimensions 49 cm x 33cm x 24 cm is melted to form a solid sphere then find the radius of sphere

Answer 1

Step-by-step explanation:

volume of cuboid = volume of sphere

49*33*24 = (4/3)*π*(r^3)

where r is the radius of sphere

49*33*24*3*7/(22*4) = r^3

r^3 = 9261

taking cuberoot of both sides

r = 21 cm

Answer 2

Vol. of iron cuboid=49x33x24

=38808cm3

Vol. of sphere = 4/3πr 3

4/3x22/7 xr^3_=38808

r^3=38808x3x7/22x4=9261

r =3 v9261=21cm.

Radius of the sphere=21cm