Question

Find the volume of the cone

Answer 1

Answer:

12$\pi$ units^3

Step-by-step explanation:

V=1/3Bh

=1/3 Area of the base times height

Area of base: $\pi$r^2=4$\pi$

height=9

4$\pi$ times 9=36$\pi$

1/3 of 36$\pi$ =12$\pi$

Answer 2

Answer:

The volume of cone is $\boxed{\tt{37.68}}$ units³.

Step-by-step explanation:

As per given question we have provided :

• ➝ Radius of cone = 2 units
• ➝ Height of cone = 9 units

Here's the required formula to find the volume of cone :

${\longrightarrow{\pmb{\sf{V_{(Cone)} = \dfrac{1}{3}\pi{r}^{2}h}}}}$

• ➝ V = Volume
• ➝ π = 3.14
• ➝ r = radius
• ➝ h = height

Substituting all the given values in the formula to find the volume of cone :

${\implies{\sf{Volume_{(Cone)} = \dfrac{1}{3}\pi{r}^{2}h}}}$

${\implies{\sf{Volume_{(Cone)} = \dfrac{1}{3} \times 3.14{(2)}^{2}9}}}$

${\implies{\sf{Volume_{(Cone)} = \dfrac{1}{3} \times 3.14{(2 \times 2)}9}}}$

${\implies{\sf{Volume_{(Cone)} = \dfrac{1}{3} \times 3.14{(4)}9}}}$

${\implies{\sf{Volume_{(Cone)} = \dfrac{1}{3} \times 3.14 \times 4 \times 9}}}$

${\implies{\sf{Volume_{(Cone)} = \dfrac{1}{3} \times 3.14 \times 36}}}$

${\implies{\sf{Volume_{(Cone)} = \dfrac{1}{\cancel{3}}\times 3.14 \times \cancel{36}}}}$

${\implies{\sf{Volume_{(Cone)} = 3.14 \times 12}}}$

${\implies{\sf{Volume_{(Cone)} = 37.68}}}$

$\star{\underline{\boxed{\sf{\red{Volume_{(Cone)} = 37.68 \: {units}^{3}}}}}}$

Hence, the volume of cone is 37.68 units³.

$\rule{300}{2.5}$