Question

The height and the slant height of a cone are 21 cm and 28 cm

respectively. Find the volume of the cone.​

Answer 1

7546cm³

Explanation:

From l² = r² + h² , we have

`r = \sqrt{ {l}^(2) + {h}^(2) } = \sqrt{ {28}^(2) - {21}^(2) cm} = 7 √(7)`

so, volume of the cone = ⅓ π r² h = ⅓ × 22/7 × 7√7 cm

So , volume of the cone = 1/3πr²h = 1/3×22/7×7√7×7√7×21 cm³

= 7546cm³