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) radius 6 cm, height 7 cm
(ii) radius 3.5 cm, height 12 cm
Solution and Explanation
(i) Radius of the cone, r = 6 cm
Height of the cone, h = 7 cm
Volume of the cone = \(\frac{1}{3}\text{πr²h}\)
=\(\frac{1}{3}\) × \(\frac{22}{7}\) × 6 cm × 6 cm × 7 cm
= 264 cm³
(ii) Radius of the cone, r = 3.5 cm
Height of the cone, h = 12 cm
Volume of the cone = \(\frac{1}{3}\pi r²h\)
= \(\frac{1}{3}\) × \(\frac{22}{7}\) × 3.5 cm × 3.5 cm × 12 cm
= 154 cm³
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