Question

In the given figure, the radius of the cone is same as its height equal to 2 cm each. The volume of the whole body is:

पर्याय

• 8π cm³

• 16 cm³

• 32π сm³

• 32 cm³

Answer 1

8π cm³

Explanation:

Given,

Radius of cone (r) = 2 cm

Height of cone (h) = 2 cm

From figure,

Radius of hemisphere = Radius of cone = 2 cm.

⇒ Volume of body = Volume of cone + Volume of hemisphere

⇒ Volume of body \[= \frac{1}{3}\, \pi r^2 h + \frac{2}{3}\, \pi r^3\]

\[{} = \frac{\pi r^2}{3}\, (h + 2r)\]

\[{} = \frac{\pi \times 2^2}{3} \times (2 + 2 \times 2)\]

\[{} = \frac{4\pi}{3} \times (2 + 4)\]

\[{} = \frac{4\pi}{3} \times 6\]

\[{} = \frac{24\pi}{3}\]

= 8π cm³