A cone with the same base but a height 3 times taller than the given cylinder exists. What is the volume of each figure? Express your answers in terms of pi.
Volume of the cylinder =
Volume of the cone =

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A cone with the same base but a height 3 times taller than the given cylinder exists What is the volume of each figure Express your answers in terms of pi Volum class=

Respuesta :

Answer:

Step-by-step explanation:

131.95

The volume of cylinder and cone are [tex]36\pi[/tex] cubic unit.

Volume of cylinder :

It is given by formula, [tex]V=\pi r^{2}h[/tex]

Where r is base radius and h is height of cylinder.

Given that,  [tex]r=3,h=4[/tex]

Substitute values in above formula,

         [tex]V=\pi*3^{2} *4=36\pi[/tex]

Volume of the cone is,

                 [tex]V=\frac{1}{3} \pi r^{2}h[/tex]

Given that, [tex]r=3,h=3*4=12[/tex]

Substitute values in above formula.

    [tex]V=\frac{1}{3}\pi*3^{2}*12=36\pi[/tex]

Learn more about the volume of cylinder here:

https://brainly.com/question/9554871