Question

The slant height of a right cone is 2√3cm. The angle between the vertical and slant
height is 30°. The volume of the cone is ____cm^3

Answer 1

Answer:

$8\pi$

Step-by-step explanation:

GIven: l = 2$\sqrt{3}$, h=30

We know that, $l^{2} = h^{2} + r^{2}$

Hence, $(2\sqrt{3}) ^{2} = 30^{2} + r^{2}$

            $12 = 900 + r^{2} \\r^{2} = 900-12\\r^{2} = 888\\r = 2\sqrt{222}$

Vol of Cone = $1/3\pi r^{2}h$

                   = $8\pi$