Question

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

Answer 1

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

      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.

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Answer 2

Answer:

1457.7 cubic ft

Step-by-step explanation:

Volume of a cylinder= πr²h

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

h = 29

Volume=  π × 4² × 29 = 1457.7 cubic ft