1.

If a cylinder of radius 4.3 cm and height 4.8 cm is melted and constructed into a cone of the same radius, what will be the height of this cone? (Use π = 22/7)1). 28.8 cm2). 14.4 cm3). 7.2 cm4). 21.6 cm

Answer»

A CYLINDER of radius 4.3 cm and HEIGHT 4.8 cm is melted and constructed into a cone of the same radius.

So, the volume of the cylinder = π × r2 × h = (22/7) × 4.32 × 4.8 cm3

Let the height of the cone be h.

So, the volume of the cone = (1/3) × π × r2 × h = (1/3) × (22/7) × 4.32 × h cm3

Now we can WRITE,

(1/3) × (22/7) × 4.32 × h = (22/7) × 4.32 × 4.8

⇒ h = 4.8 × 3

⇒ h = 14.4

∴ The height of the cone = 14.4 cm


Discussion

No Comment Found

Related InterviewSolutions