Question

What is the approximate volume of the cone? Use 227
22
7
for π. Enter your answer in the box.

Answer 1

Answer :

• 132 cm³.

Explanation :

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 the cone.

⠀

Here,

• Radius of the cone is 3 cm .

• Height of the cone is 14 cm .

• We will take the value of π as $\sf \: \dfrac{22}{7}$

⠀

Substituting the value in the formula :

⠀

${ \longrightarrow \sf \qquad { { Volume_{(cone) }= \dfrac{1}{3} \times \dfrac{22}{7} \times {3}^{2} \times 14 }}}$

⠀

${ \longrightarrow \sf \qquad { { Volume_{(cone) }= \dfrac{1}{ \cancel3} \times \dfrac{22}{ \cancel7} \times { \cancel9} \times \cancel{14 }}}}$

⠀

${ \longrightarrow \sf \qquad { { Volume_{(cone) }= 1 \times 22 \times 3 \times 2 }}}$

⠀

${ \longrightarrow \sf \qquad { { Volume_{(cone) }= 1 \times 22 \times 6 }}}$

⠀

${ \longrightarrow{ \pmb {\mathfrak {\qquad { Volume_{(cone) }= 132 }}}}}$

⠀

Therefore,

• The volume of the cone is 132 cm approximately .

Answer 2

Question :-

• Calculate the Volume of Cone, if the following dimensions are Radius as 3 cm and Height as 14 cm .

Answer :-

• Volume of Cone is 132 cm .

Explanation :-

As per the provided information in the given question, we have been given that the Radius of the Cone is 3 cm . Its Height is given as 14 cm . And, we have been asked to calculate the Volume of the Cone .

For calculating the Volume , we will use the Formula :-

$\bigstar \: \: \: \boxed{ \sf{ \: Volume \: _{Cone} \: = \: \frac{1}{3} \: \pi {r}^{2} h \: }}$

Where ,

• R denotes to the Radius
• H denotes to the Height

Therefore , by Substituting the given values in the above Formula :-

$\dag \: \: \: \sf{Volume \: _{Cone} \: = \: \dfrac{1}{3} \: \times \: \pi \: \times \: {r}^{2} \: \times \: h }$

$\longmapsto \: \: \sf{Volume \: _{Cone} \: = \: \dfrac{1}{3} \: \times \: \dfrac{22}{7} \: \times \: ( {3})^{2} \: \times \: 14 }$

$\longmapsto \: \: \sf{Volume \: _{Cone} \: = \: \dfrac{1}{3} \: \times \: \dfrac{22}{7} \: \times \: 9 \: \times \: 14 }$

$\longmapsto \: \: \sf{Volume \: _{Cone} \: = \: \dfrac {1}{1} \: \times \: \dfrac {22}{1} \: \times \: 3 \: \times \: 2 }$

$\longmapsto \: \: \sf {Volume \: _{Cone} \: = \: 1 \times \: 22 \: \times \: 3 \: \times \: 2}$

$\longmapsto \: \: \sf {Volume \: _{Cone} \: = \: 1 \times \: 22 \: \times \: 6}$

$\longmapsto \: \: \sf {Volume \: _{Cone} \: = \: 22 \: \times \: 6}$

$\longmapsto \: \: \bf {Volume \: _{Cone} \: = \: 132 \: cm }$

Hence :-

• Volume of Cone = 132 cm .

$\underline {\rule {200pt} {4pt}}$