Answers

2016-04-09T12:29:18+05:30
Radius of cone = 1/3πr²h
                         = 1/3 × 22/7 × 2.1 × 2.1 × 8.4
                         = 38.808 cm³
volume of sphere = volume of cone
4/3πr³ = 38.808
r³ = 9.261
r = 2.1 cm
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hope it may help u
Hey, in the first step, you have written radius of cone on LHS and calculated Volume on RHS
2016-04-09T17:08:58+05:30
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.
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