Question

A cylinder has a radius of 3 ft and a height of 5 ft. Find the volume

Answer 1

Volume of cylinder is 141.3 ft³ ( Taking value of π as 3.14 )

Explanation:

Question : -

A cylinder has a radius of 3 ft and a height of 5 ft. Find the volume .

Given : -

• Radius of cylinder = 3 ft

• Height of cylinder = 5 ft

To Find : -

We have to , volume of Cylinder .

Formula Used : -

`\boxed{ \sf{Volume \: of \: Cylinder = \pi r {}^(2) h }}`

Where ,

• π = 3.14

• r = radius of cylinder

• h = height of cylinder

Solution : -

`\longrightarrow \: \pi r {}^(2) h`

Now , substituting values of radius and height :

`\longrightarrow \: 3.14 * (3) {}^(2) * 5`

Now , calculating :

`\longrightarrow 3.14 * 9 *5`

Firstly , multiplying 9 and 5 :

`\longrightarrow \: 3.14 * 45`

Atlast , multiplying 3.14 and 45 :

`\longrightarrow \: \bold{ 141.3}`

`\red{ \boxed{ \rm{Therefore , \: volume \: of \: cylinder \: is \: 141.3 \: ft {}^(3) }}}`

#Keep Learning

Answer 2

Question :-

• A Cylinder has a Radius of 3 Ft and a Height of 5 Ft . Find the Volume .

Answer :-

• Volume of Cylinder is 141.42 Ft³ .

Explanation :-

As per the provided information in the given question, we have been given that the Radius of the Cylinder is 3 Ft . The Height is given as 5 Ft . And, we have been asked to calculate the Volume of Cylinder .

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

`\bigstar \: \: \: \boxed{ \sf{ \: Volume \: _(Cylinder) \: = \: \pi {r}^(2)h \: }}`

Where ,

• R denotes to Radius
• H denotes to Height

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

`\Longrightarrow \: \: \: \sf { Volume \: _(Cylinder) \: = \: \pi {r}^(2)h }`

`\Longrightarrow \: \: \: \sf { Volume \: _(Cylinder) \: = \: \frac {22}{7} \: * \: ({3})^(2) \: * \: 5 } \\`

`\Longrightarrow \: \: \: \sf { Volume \: _(Cylinder) \: = \: \frac {22}{7} \: * \: 9 \: * \: 5 } \\`

`\Longrightarrow \: \: \: \sf { Volume \: _(Cylinder) \: = \: \frac {22\: * \: 9 \: * \: 5 }{7}} \\`

`\Longrightarrow \: \: \: \sf { Volume \: _(Cylinder) \: = \: \frac { \: 990 \: }{7}} \\`

`\Longrightarrow \: \: \: \bf { Volume \: _(Cylinder) \: = \: 141.42 }`

Hence :-

• Volume of Cylinder = 141.42 Ft³ .

`\underline {\rule {180pt}{4pt}}`