Q. 134.7( 3 Votes )

A. 12 cm

B. 18 cm

C. 36 cm

D. 96 cm

Answer :

Given: Radius of the solid sphere = 9 cm

Radius of the cylinder = 9 cm

Volume of Solid Sphere is: × π × r^{3} (here r is radius of the sphere)

Volume of Solid Cylinder is: π × r^{2} × h (here r is radius and h is height of the cylinder)

Let v_{1} be the volume of given Solid Sphere.

∴ v_{1} = × π × 9^{3} cm^{3}

Let v_{2} be the volume of Solid Cylinder.

∴ v_{2} = π × 9^{2} × h

We know that when a object is moulded from one shape to other its volume does not change.

∴ v_{1}=v_{2}

That is,

× π × 9^{3} = π × 9^{2} × h

h = = = 12 cm

∴ h = 12 cm

That is Height of the Cylinder is 12 cm

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