Question

A right circular metal cone is 8cm height and 4cm in diameter at the base is melted and casted into sphere determined the diameter of sphere

Answer 1

Explanation:

For metal cone:

Height=8cm

Diameter =4cm

Radius =2cm

Volume =1/3πr^2h=1/3*22/7*2*2*8

=33.52cm^3

Volume of sphere=4/3πr^3

Volume of cone is equal to the volume of sphere.i.e

33.52=4/3*22/7*r^3

(33.52*3*7)/4*22=(r)^3

7.9990i.e 8(aaprox)=(r)^3

(2)^3=(r)^3

r=2

Radius of sphere =2cm.

Diameter=2r=2*2=4cm.

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