A solid cone of height 16.8cm and base radius 4.2 cm is melted and recast into a solid sphere. Determine the radius of the sphere.
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Answer:
r= 10cm
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Answer:
height of cone = 16.8 cm
height of cone = 16.8 cm base radius = 4.2cm
volume of cone = volume of sphere
1/3 πr²h = 4/3πr³
r²h = 4r³
(4.2)² × 16.8 = 4(r)³
r³ = 4.2 × 4.2 ×16.8 / 4
r³ = 74.088
radius = 4.2 cm
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