Question

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

Answer 1

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

Answer 2

Step-by-step explanation:

r=2

• diameter=2r

2x2

=4cm