The volume of a cone of radius 13 cm is 507 π cm³ . Find its height.

9 cm

We know that,

Volume of cone = \(\frac{1}{3}\) πr²h

We have,

The volume of a cone = 507 π cm³.

Radius (r) of cone = 13 cm 

Volume of cone = \(\frac{1}{3}\) × π ×  (13)² × h

 507 π  = \(\frac{1}{3}\) × π × 169 × h

= h = (507 × 3)/169 = \(\frac{1521}{169 }\) = 9 cm