Question

A cylinder has a height of 16 feet and a diameter of 22 feet. what is its volume?

Answer 1

Given:

• Height= 16 feet
• Diameter= 22 feet

To find:

The volume of the given cylinder.

Solution:

`v = \pi {r}^(2) h`

`v = \pi * {11}^(2) * 16`

`v = 6082.12338 \: {ft}^(3)`

`v = 6082.12 \: {ft}^(3) (2 \: dp)`

Therefore, the volume of the given cylinder is 6082.12 cubic feets.

Answer 2

Question :-

• A Cylinder has a Height of 16 Feet and a Diameter of 22 Feet . What is its Volume ?

Answer :-

• Volume of Cylinder is 6084.5 Feet ³.

Explanation :-

As per the provided information in the given question, we have been given that the Height of Cylinder is 16 feet and the Diameter is given as 22 feet . And, we have been asked to calculate the Volume of Cylinder .

For calculating the Volume , first we need to find Radius of Cylinder .

Here, we will find the Radius :-

`\bigstar \: \: \boxed{ \sf{ \: Radius \: = \: (Diameter)/(2) \: }}`

`\longmapsto \: \: \sf { Radius \: = \: ( \: 22 \: )/(2) \: }`

`\longmapsto \: \: \bf { Radius \: = \: 11 \: Feet }`

Now, we will find Volume of Cylinder :-

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

`\longmapsto \: \: \sf {Volume \: _(Cylinder) \: = \: (22)/(7) \: * \: ({11})^(2) \: * \: 16 } \\`

`\longmapsto \: \: \sf {Volume \: _(Cylinder) \: = \: (22)/(7) \: * \: 121 \: * \: 16 } \\`

`\longmapsto \: \: \sf {Volume \: _(Cylinder) \: = \: (22)/(7) \: * \: 1936 } \\`

`\longmapsto \: \: \sf {Volume \: _(Cylinder) \: = \: (22 \: * \: 1936)/(7)} \\`

`\longmapsto \: \: \sf {Volume \: _(Cylinder) \: = \: ( \: 42592 \:)/(7)} \\`

`\longmapsto \: \: \bf {Volume \: _(Cylinder) \: = \: 6084.5 \: Feet^(3)}`

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

Formula Used :-

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

Where ,

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