Question

What is the approximate volume of the cone? Use 227

22
7
for π. Enter your answer in the box.

Answer 1

• 132 cm³.

Explanation :

We know,

⠀

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

⠀

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 \: (22)/(7)`

⠀

Substituting the value in the formula :

⠀

`{ \longrightarrow \sf \qquad { { Volume_((cone) )= (1)/(3) * (22)/(7) * {3}^(2) * 14 }}}`

⠀

`{ \longrightarrow \sf \qquad { { Volume_((cone) )= (1)/( \cancel3) * (22)/( \cancel7) * { \cancel9} * \cancel{14 }}}}`

⠀

`{ \longrightarrow \sf \qquad { { Volume_((cone) )= 1 * 22 * 3 * 2 }}}`

⠀

`{ \longrightarrow \sf \qquad { { Volume_((cone) )= 1 * 22 * 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) \: = \: (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) \: = \: (1)/(3) \: * \: \pi \: * \: {r}^(2) \: * \: h }`

`\longmapsto \: \: \sf{Volume \: _(Cone) \: = \: (1)/(3) \: * \: (22)/(7) \: * \: ( {3})^(2) \: * \: 14 } \\`

`\longmapsto \: \: \sf{Volume \: _(Cone) \: = \: (1)/(3) \: * \: (22)/(7) \: * \: 9 \: * \: 14 } \\`

`\longmapsto \: \: \sf{Volume \: _(Cone) \: = \: \frac {1}{1} \: * \: \frac {22}{1} \: * \: 3 \: * \: 2 }`

`\longmapsto \: \: \sf {Volume \: _(Cone) \: = \: 1 * \: 22 \: * \: 3 \: * \: 2}`

`\longmapsto \: \: \sf {Volume \: _(Cone) \: = \: 1 * \: 22 \: * \: 6}`

`\longmapsto \: \: \sf {Volume \: _(Cone) \: = \: 22 \: * \: 6}`

`\longmapsto \: \: \bf {Volume \: _(Cone) \: = \: 132 \: cm }`

Hence :-

• Volume of Cone = 132 cm .

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