Question

A Cone is 8.4 cm high and the radius of its base is 2.1cm. It is melted and recast into a sphere. Find the radius of sphere formed? Please answer the question in 24 hours(solved).

Answer 1

cone height = 8.4cm ,radius = 2.1 cm
volume of new recast shape =
volume of cone = volume of sphere
1/3π r² h  = 4/3 π r³
1/3 × 2.1×2.1 ×8.4 =4/3 r³
0.7× 37.044 =4/3 r³
25.93 ×3/4 =r³
19.44 =r³
r= 2.6891 cm [approx]