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 is
A. 2.1 cm

B. 1.05 cm

C. 1.5 cm

D. 2 cm

Answer :

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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