Question

a cone is 8.4cm high and radius of its base is 2.1cm it is melted and recast into a sphere.the radius of sphere is

Answer 1

1/3 πr²h = 4/3 πr³

2.1*2.1*8.4 = 4*r³

r = ∛2.1*2.1*21

r = 2.1 cm

Answer 2

h=8.4cm

R=2.1cm

r=?

ATQ->

Volume(Cone)=Volume(Sphere)

1/3×pi×R^2 × h= 4/3× pi×r^3

R^2×h=4×r^3

(2.1×2.1×8.4)÷4=r^3

2.1×2.1×2.1=r^3

Therefore, r=2.1 cm

So, radius is 2.1cm