Q. 625.0( 1 Vote )

# A metallic Cylind

Answer :

Given: A metallic Cylinder of radius 8cm and height 2cm

Right circular cone of height 6cm

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

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

Let V1 be the volume of the Cylinder

V1 = π × r2 × h

V1 = π × (8)2 × (2) = 128π

Let V2 be the volume of the cone

V2 = × π × r2 × h

V2 = × π × (r)2 × (6) = 2πr2

Here, Solid Cylinder is melted and made into a Solid cone.

V1 = V2

128π = 2πr2

2πr2 = 128π

r2 = = 64

r2 = 64

r = 64 = 8cm

Radius of the base of the cone is 8cm.

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