a right circular cone is 8cm height and the base radius of its base 2cm ,the cone is melted and recast into a sphere , determine the diameter of the sphere
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Answered by
83
Find the volume:
Volume of cone = 1/3 πr²h
Volume of cone = 1/3 π (2)² (8) = 32/3 π cm³
Find the radius of the sphere:
Volume of a sphere = 4/3 πr³
32/3 π = 4/3 πr³
r³ = 32/3 π ÷ 4/3π
r³ - = 8
r = ∛8
r = 2
Find the diameter:
Diameter = radius x 2
Diameter = 2 x 2 = 4 cm
Answer: The diameter is 4 cm
Answered by
11
Step-by-step explanation:
r=2
- diameter=2r
2x2
=4cm
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