Q. 675.0( 1 Vote )

# A metallic cone having base radius 2.1 cm and height 8.4 cm is melted and moulded into a sphere. The radius of the sphere isA. 2.1 cmB. 1.05 cmC. 1.5 cmD. 2 cm

Given: A metallic cone having base radius 2.1 cm and height 8.4 cm

Volume of a cone is given by: × π × r2 × h

Let V1 be the volume of the cone

V1 = × π × r2 × h

V1 = × π × (2.1)2 × (8.4)

Volume of a sphere is given by: × π × r3

Let V2 be the volume of the cone

V1 = × π × r3

Here,

V1 = V2

× π × (2.1)2 × (8.4) = × π × r3

r3 = × π × (2.1)2 × (8.4) × = (2.1)3

r3 = (2.1)3

r = (2.1)3 = 2.1 cm

Radius of the sphere is 2.1 cm

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