A child converts a cone of height 24 cm and base radius 6 cm into a sphere. Calculate the radius of the sphere.
Answers
Answered by
0
volume of cone = volume of sphere
volume of cone = 1/3 × π r²h
volume of sphere = 4/3 πR³
therefore 1/3πr²h = 4/3πR³
=> r²h = 4R³
=> R³ = r²h/4
=> R³ = (6² × 24)/4
=> R³ = 6² × 24/4
=> R³ = 6² × 6
=> R³ = 6³
taking cube root on both sides, we get
=> R = 6 cm
radius of sphere = 6 cm
Similar questions