Question

find the volume of the cone of base radius 3cm and height 14cm​

Answer 1

Given -

• Base radius(r) of the cone = 3cm
• Height (h) of the cone = 14cm

To find -

• The volume of the cone

Solution -

We know that,

$Volume \: of \: the \: cone = \frac{1}{3} \pi {r}^{2} h$

By putting the values we will get -

$Volume \: of \: cone = \frac{1}{3} \times \frac{22}{7} \times {(3)}^{2} \times 14$

$Volume \: of \: the \: cone = \frac{1}{3} \times \frac{22}{7} \times 9 \times 14$

$Volume \: of \: the \: cone = 132$

Therefore the volume of the cone is 132 cm³

Related Formulae -

$1)Volume \: of \: cone = \frac{1}{3} \pi {r}^{2} h$

$2)C. S. A\: of \: cone = \pi \: rl$

$3)T. S. A\: of \: cone = \pi \: r(l + r)$