Question

a sphere of radius 16.6cm is melted and recast into right circular cones of height 16.6cm find the radius of the base of the cone

Answer 1

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Answer 2

radius of sphere = 16.6 cm
volume of sphere = 4/3πr^3
= 4/3×π×16.6×16.6×16.6
volume of sphere=volume of cone
height of cone = 16.6cm
volume of cone = 1/3πr^2h
4/3×π×16.6×16.6×16.6 =1/3×π×r^2×16.6
r^2= 4×π×16.6×16.6×16.6×3/3×π×16.6
r^2= 4×16.6×16.6
r^2= 1102.24
r = 33.2 cm

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