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# Find the volume of the right circular cone withi) radius 6 cm, height 7 cmii) 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 $${cm}^3$$