if a hollow sphere of internal and external diameter 4cm melted 8cm respectively melted into a cone of base diameter 8cm . find the height of cone

1 answer

amount of solid in the original sphere
= (4/3)π(4^3) - (4/3)π(2^3)
= (4/3)π(64-8)
= 224π/3

This must become the volume of a cone
(1/3)π(4^2)h = 224π/3
time 3/π
16h = 224
h = 14 cm