Question

Find the volume of the cone.
Either enter an exact answer in terms of or use 3.14 for TT and round your final answer to the nearest hundredth.
units
4 and 3

Answer 1

We know,

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

Where,

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

Here,

• Radius of the cone is 3 .
• Height of the cone is 4 .

⠀

Substituting the value in the formula :

We will take the value of π as 3.14 .

⠀

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

⠀

${ \longrightarrow \sf \qquad { { Volume_{(cone) }= \dfrac{1} {\cancel{3}} \times 3.14 \times \cancel9 \times 4 }}}$

⠀

${ \longrightarrow \sf \qquad { { Volume_{(cone) }= {1} \times 3.14 \times {3} \times 4 }}}$

⠀

${ \longrightarrow \sf \qquad { { Volume_{(cone) }= {1} \times 3.14 \times 12 }}}$

⠀

${ \longrightarrow \bf \qquad { { Volume_{(cone) }= 37.68 }}}$

⠀

Therefore,

• The volume of the cone is 37.68 units³.

⠀