Question

Find the volume of the cone.

Either enter an exact answer in terms of ñ or use 3.14 for
a and round your final answer to the nearest hundredth.
8
6
units3

Answer 1

We know,

`{ \longrightarrow \bf \qquad { { Volume_((cone) )= (1)/(3) \pi {r}^(2)h }}}`

Where,

• r is the base radius of the cone.
• h is the height of thr cone.

Here,

• Radius of the cone is 6 .
• Height of the cone is 8 .

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Substituting the value in the formula :

We will take the value of π as 3.14 .

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`{ \longrightarrow \sf \qquad { { Volume_((cone) )= (1)/(3) * 3.14 * {6}^(2) * 8 }}}`

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`{ \longrightarrow \sf \qquad { { Volume_((cone) )= \frac{1}{ \cancel{3}} * 3.14 * \cancel{36} * 8 }}}`

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`{ \longrightarrow \sf \qquad { { Volume_((cone) )= {1} * 3.14 * 12 * 8 }}}`

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`{ \longrightarrow \sf \qquad { { Volume_((cone) )= {1} * 3.14 * 96 }}}`

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`{ \longrightarrow \bf \qquad { { Volume_((cone) )= 301.44}}}`

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Therefore,

• The volume of the cone is 301.44 units³.

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