Q) From a solid right circular cylinder of height 14 cm and base radius 6 cm, a right circular cone of same height and same base radius is removed. Find the volume of the remaining solid.

Ans:

Step 1: ∵ Volume of the cylinder = π  r ² h

For cylinder, radius = 6 cm and height = 14 cm   (given)

∴ Cylinder’s volume = π × (6)² × 14 = π × 36 × 14 = 504 π cm³

Step 2: ∵ Volume of the cone = π r ² h

For cone, radius = 6 cm and height = 14 cm   (given)

∴ Removed cone’s volume = π (6)² (14) = 168 π cm³

Step 3: ∵ Volume of remaining solid = Cylinder volume – removed cone’s volume

= 504 π – 168 π

= 336 π = 336 x

= 48 x 22 = 1056 cm³

Therefore, the volume of remaining solid is 1056 cm³

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