Question

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

Answer 1

Answer:

For the cone,

radius, r = 2.1 cm

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 also 2.1 cm.

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