Question

A right circular cone made of iron is of 8 cm height and has base radius 2 cm It is melted and recast into a sphere determine the radius of the sphere

Answer 1

given radius of cone = 2 cm 
height of cone = 8cm 
let the radius of sphere be R cm so,
vol. of cone = vol. of sphere 
1/3 πr²h = 4/3 π R³
r²h=4R³
R³= r²h/4
R³= (2)²8/4
R³=8
R=∛8
R= 2 cm 

i hope u like it so plzzz mark as brainliest plzzzz.....

Answer 2

Here,

Volume of the cone = volume of the sphere.

1/3πr²h = 4/3πr³

1/3 × 22/7 × (2)² × 8 = 4/3 × 22/7 × r³

1/3 × 4 × 8 = 4/3 × r³

32/3 × 3/4 = r³

8 = r³

r = ³√8

r = 2 .

Therefore, radius of the sphere = 2 cm.

:)