Question

a metallic sphere of radius 6 cm is melted and recast into the shape of cone of height 24 cm find the radius of the base of the cone

Answer 1

volume of sphere = volume of cone
4/3πr^3=1/3 πr^2h
1/3 π cancle from both side
then,
4×6×6×6 =r^2 × 24
r^2 =6×6
so , r=6 cm

Answer 2

Dear Student,

◆ Answer -

r = 6 cm

● Explanation -

Given that metallic sphere is melted and recast into cone.

volume of sphere = volume of cone

4/3 πR^3 = πr^2.h/3

4 R^3 = r^2.h

4 × 6^3 = r^2 × 24

864 = r^2 × 24

r^2 = 864 / 24

r^2 = 36

r = 6 cm

Hence, the radius of the base of the cone is 6 cm.

Thanks dear. Hope this helps you...