Find the volume of the right circular cone with
i) radius 6 cm, height 7 cm
ii) radius 3.5 cm, height 12 cm.

i)Given :
Radius (r) of cone = 6 cm
Height (h) of cone = 7 cm

We know that,

Volume of cone
= \(\frac{1}{3} {\pi} {r}^2 h\)
= \(\frac{1}{3} × \frac{22}{7} × {6}^2 × 7\) \({cm}^3\)
= 12 × 22 \({cm}^3\)
= 264 \({cm}^3\)

Therefore, the volume of the cone is 264 \({cm}^3\)

ii)Given :
Radius (r) of cone = 3.5 cm
Height (h) of cone = 12 cm

Similarly,

Volume of cone
= \(\frac{1}{3} {\pi} {r}^2 h\)
= \(\frac{1}{3} × \frac{22}{7} × {3.5}^2 × 12\) \({cm}^3\)
= 12.833 × 12 \({cm}^3\)
= 154 \({cm}^3\)

Therefore, the volume of the cone is 154 \({cm}^3\)