Question

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

Either enter an exact answer in terms of π or use 3.14 for π and round your final answer to the nearest hundredth.

Answer 1

To find the volume of a cone, you need to know the radius of the base and the height of the cone. The formula to calculate the volume of a cone is V = (1/3)πr²h.

Step-by-step explanation:

To find the volume of a cone, you need to know the radius of the base and the height of the cone. The formula to calculate the volume of a cone is V = (1/3)πr²h, where V is the volume, r is the radius of the base, and h is the height of the cone.

For example, let's say the radius of the cone's base is 3 cm and the height is 8 cm. Plugging these values into the formula, we get V = (1/3)π(3 cm)²(8 cm) = 24π cm³ ≈ 75.4 cm³ (rounded to the nearest hundredth).

Answer 2

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)) = (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)) = (1)/(3)\pi{r}^(2)h}}}`

`{\longrightarrow{\sf{Volume_((Cone)) = (1)/(3) * 3.14{(4)}^(2)10}}}`

`{\longrightarrow{\sf{Volume_((Cone)) = (1)/(3) * 3.14{(4 * 4)}10}}}`

`{\longrightarrow{\sf{Volume_((Cone)) = (1)/(3) * 3.14{(16)}10}}}`

`{\longrightarrow{\sf{Volume_((Cone)) = (1)/(3) * 3.14 * 16 * 10}}}`

`{\longrightarrow{\sf{Volume_((Cone)) = (1)/(3) * 3.14 * 160}}}`

`{\longrightarrow{\sf{Volume_((Cone)) = (1* 3.14 * 160)/(3)}}}`

`{\longrightarrow{\sf{Volume_((Cone)) = (3.14 * 160)/(3)}}}`

`{\longrightarrow{\sf{Volume_((Cone)) = (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}`