Question

12 solid sphere of same size are made by melting of a solid cone of base radius 1cm and height of 48cm . find the radius of each sphere​

Answer 1

Answer:

radius = 1cm

Height = 48 cm

Radius of small spheres be r cm

n = 12

n(volume of small spheres ) = volume of cylinder

12 (4/3 pi r ^3) = pi R^2 h

12×4/3r^3 =1×1×48

r^3 =48×3/12×4

=48×3/48

r^3 =3

$r \: = \: \sqrt[3]{3}$