A metallic spherical shell of internal
and external diameters 6 cm and 10 cm,
respectively is melted and recast in the form of
a cone of base diameter 14 cm. The height of
the cone is
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Answer:
total diameter of spherical ball= 6cm+ 10cm
= 16cm
radius of spherical ball = 16/2
= 8 cm
radius of cone = 14/2
= 7cm
volume of spherical ball= volume of cone
4/3πr³ = 1/3πr²h
4/3× (8)³ = 1/3× (7)²×h
4/3× 8×8×8. = 1/3× 7×7 × h
4/3× 8×8×8 ×3
7×7× = h
2048/49. = h
41.8 cm = h
the answer is 41.8 cm
the height of cone is 41.8cm
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