The height and the slant height of a cone are 12 cm and 20 cm respectively. Find its volume. (π = 3.14)

Given.

Slant height of cone = 20 cm

Height of cone = 12 cm

Formula used/Theory.

Volume of cone = πr2h

In cone,

The Radius, height and slant height makes a right angled triangle

With hypotenuse as slant height of triangle

By Pythagoras Theorem

Radius2 + Height2 = (slant height) 2

Radius2 + (12 cm) 2 = (20 cm) 2

Radius2 + 144 cm2 = 400 cm2

Radius2 = 400 cm2 – 144 cm2

Radius = √(256 cm2) = 16 cm

Volume of Cone = πr2h

= × 3.14 × 16cm × 16cm × 12cm

= 3.14 × 16cm × 16cm × 4cm

= 3215.36 cm3

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