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3 years ago

9. Write an equation relating the measures of

Mathematics

1 answer:

Vika [28.1K]3 years ago

6 0

So you have to relate on the greats number because it is the denominator

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

Katen [24]

Answer:

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

Step-by-step explanation:

<u>Solution</u> :

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.

$\rule{300}{2.5}$

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