Question

a right circular cone of height 8.4m and radius of base 2.1m . It is melted into a sphere . find the radius of the sphere.

Answer 1

SORRY I DONT KNOW THE ANS

Answer 2

For the cone,

radius, r = 2.1cm

height, h = 8.4 cm

For the sphere,

radius = R

Cone is melted and recast into sphere.

So, Volume of sphere = Volume of cone

∴ 4/3 π R³ = 1/3 π r² h

∴4 R³ = r² h

∴4 R³ = 2.1² * 8.4

∴R³ = 2.1² * 8.4 / 4

∴R³ =  2.1² * 2.1

∴R³ = 2.1³

∴R = 2.1 cm

Thus, radius of the sphere is 2.1 cm.