Question

HELPPP PLSSS!!!!!!!!!!! Find the volume of the cone.

Answer 1

Answer:

The volume of cone is $\boxed{\tt{167.47}}$ unit³.

Step-by-step explanation:

Solution :

As per given question we have provided :

• ➝ Radius of cone = 4 units
• ➝ Height of cone = 10 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 :

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

${\longrightarrow{\sf{Volume_{(Cone)} = \dfrac{1}{3} \times 3.14{(4)}^{2}10}}}$

${\longrightarrow{\sf{Volume_{(Cone)} = \dfrac{1}{3} \times 3.14{(4 \times 4)}10}}}$

${\longrightarrow{\sf{Volume_{(Cone)} = \dfrac{1}{3} \times 3.14{(16)}10}}}$

${\longrightarrow{\sf{Volume_{(Cone)} = \dfrac{1}{3} \times 3.14 \times 16 \times 10}}}$

${\longrightarrow{\sf{Volume_{(Cone)} = \dfrac{1}{3} \times 3.14 \times 160}}}$

${\longrightarrow{\sf{Volume_{(Cone)} = \dfrac{1\times 3.14 \times 160}{3}}}}$

${\longrightarrow{\sf{Volume_{(Cone)} = \dfrac{3.14 \times 160}{3}}}}$

${\longrightarrow{\sf{Volume_{(Cone)} = \dfrac{502.4}{3}}}}$

${\longrightarrow{\sf{Volume_{(Cone)} \approx 167.47}}}$

$\star{\underline{\boxed{\sf{\purple{Volume_{(Cone)} \approx 167.47\: {unit}^{3}}}}}}$

Hence, the volume of cone is 167.47 unit³.

$\rule{300}{2.5}$