Surface Areas and Volumes — Question 1

Given,

Radius of the cone (r) = 6 cm

Height of the cone (h) = 7 cm

By formula,

Volume of the cone (V) = $\dfrac{1}{3}πr^2h$

Substituting values we get :

$V = \dfrac{1}{3} \times \dfrac{22}{7} \times 6^2 \times 7 \\[1em] = \dfrac{1}{3} \times 22 \times 36 \\[1em] = 22 \times 12 \\[1em] = 264 \text{ cm}^3.$

Hence, volume of cone = 264 cm³.