Question

A cylinder has a base of 8 feet and a height of 29 ft what is its volume in cubic feet

Answer 1

1457.7 cubic ft

Explanation:

Volume of a cylinder= πr²h

where, r = radius = 8/2 = 4 ft

h = 29

Volume= π × 4² × 29 = 1457.7 cubic ft

Answer 2

`\rule{300}{1}`

`\diamond\large\blue\textsf{\textbf{Given question:-}}}`

A cylinder has a base of 8 feet and a height of 29 ft. What is its volume

in cubic feet (ft³)?

`\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}`

We are asked to find the volume of a cylinder, which can be found using the following formula:-

`\hookrightarrow\boxed{\bold{V=\pi r^2h}}`

Where:-

• V=volume
• r=radius
• h=height

Provided Information:-

• r=4 ft (base = 8ft, divided by 2=4ft)
• h=29 ft

Solving for Volume:-

• Substitute 4 in lieu of r and 29 in lieu of h:-

✳︎
`\sf{V=\pi (4)^2(29)}`

On simplification,

✳︎
`\sf{V=\pi (16)(29)}`

On further simplification,

✳︎
`\sf{V=464\pi }`

Final step:-

✳︎
`\sf{V\approx1,457.7\:ft^3}`

So we conclude that the volume of the given cylinder is

`\ast`
`\sf{V\approx{1,457.7\:ft^3}}}`

Good luck with your studies.

`\rule{300}{1}`