Find the volume of the right circular cone with

(i) radius 6 cm and height 7 cm

(ii) radius 3.5 cm and height 12 cm.

(i) Given, r = 6 cm and h = 7 cm.

Volume of cone = $\dfrac{1}{3}πr^2h$

Putting values in equation we get,

Volume of cone = $\dfrac{1}{3} \times \dfrac{22}{7} \times 6^2 \times 7 = \dfrac{22 × 36 × 7}{3 \times 7}$ = 22 × 12 = 264 cm³.

Hence, the volume of cone = 264 cm³.

(ii) Given, r = 3.5 cm and h = 12 cm.

Volume of cone = $\dfrac{1}{3}πr^2h$

Putting values in equation we get,

Volume of cone = $\dfrac{1}{3} \times \dfrac{22}{7} \times (3.5)^2 \times 12 = \dfrac{22 × 12.25 × 12}{3 \times 7}$ = 22 × 1.75 × 4 = 154 cm³.

Hence, the volume of cone = 154 cm³.