Find the volume of a given cone with height of 14 cm and diameter of the circular base of 6 cm.

​$$( Use \pi = \frac{22}{7})$$​

Correct option is C

Given:

Height of the cone, h = 14 cm

Diameter of the base = 6 cm

Radius r =$$\frac{6}{2}$$​= 3 cm

Formula Used:

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

Solution:

Volume is given by, 

$$= \frac{1}{3} \times \frac{22}{7} \times (3)^2 \times 14 \\ \ \\= \frac{1}{3} \times \frac{22}{7} \times 9 \times 14\\ \ \\=\frac{1}{3} \times \frac{22 \times 9 \times 14}{7}\\ \ \\=\frac{1}{3} \times \frac{2772}{7} = \frac{1}{3} \times 396 = 132 \text{ cm}^3$$​