1.

A conical vessel of base radius 16 cm and height 12 cm is filled with water. If the water leaks through a hole at the bottom of the conical vessel into a cylindrical jar of radius 8 cm, then find the level of the water in the jar after the water has leaked completely.1). 12 cm2). 15 cm3). 16 cm4). 27 cm

Answer»

⇒ given: RADIUS of cone, r = 16 CM, Height, h = 12 cm

⇒ Radius of cylindrical jar, r1 = 8 cm, height, h1 = x

⇒ Volume remains the same in this case

⇒ Volume of cone = Volume of Cylinder

⇒ (1/3) × (π × r2 × h) = (π × r12 × h1)

⇒ (1/3) × (π × 162 × 12) = (π × 82 × x)

⇒ 16 × 16 × 4 = 8 × 8 × x

∴ x = 16 cm


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