If the height and slant height of a cone are 21 cm and 28 cm respectiv

1.	If the height and slant height of a cone are 21 cm and 28 cm respectively. Find its volume.
Answer» Height of cone (h) = 21 cm Slant height of cone (l) = 28 cm We know, l² = r² + h² 28² = r² + 21² or r = 7√7 cm Now, We know, Volume of cone = \(\frac{1}{3}\)πr²h = \(\frac{1}{3}\) x π x (7√7)² x 21 = 2401 π Therefore, Volume of cone is 2401 π cm³.

If the height and slant height of a cone are 21 cm and 28 cm respectively. Find its volume.

Answer»

Height of cone (h) = 21 cm

Slant height of cone (l) = 28 cm

We know,

l² = r² + h²

28² = r² + 21²

or r = 7√7 cm

Now,

We know,

Volume of cone = \(\frac{1}{3}\)πr²h

= \(\frac{1}{3}\) x π x (7√7)² x 21

= 2401 π

Therefore, Volume of cone is 2401 π cm³.