Question

"A Cone is 8.4 cm high and the radius of its base is 2.1cm. It is melted and recast into a sphere. Find the radius of sphere formed?" Please answer the question in 24 hours(solved).

Answer 1

Hi,

i ) dimensions of the cone is,

Height = h = 8.4 cm

Radius = r = 2.1 cm

ii) let the radius of the Sphere = R cm

According to the problem given,

Volume of the Sphere = volume of

the cone

(4/3)πR³ = (πr² h)/3

R³ = (πr² h × 3 )/(3×4×π)

= (r² h)/4

= (2.1 × 2.1 × 8.4)/4

R³ = 2.1 × 2.1 × 2.1

Therefore,

R = 2.1 cm

Radius of the Sphere = R = 2.1 cm

I hope this helps you.

:)