Respuesta :

recall, the volume of a cone is 1/3pi times radius of base times height.
[tex]V cone_{} = \frac{1}{3} * \pi *r^2*h[/tex]

Volume of a cylinder is the same but without the 1/3
[tex]V cyl_{} = \pi*r^2*h[/tex]

It gives you the cone volume 20pi and that the radius and height of both of them are the same values.
[tex]20 \pi= \frac{1}{3} \pi r^2h[/tex]
[tex]V cyl_{}= \pi r^2h [/tex]

since it says the radius and height are the same for both , you can equate the two, you can solve both equations for r^2*h and then equate what is on the other side.
[tex]60=r^2h [/tex]
[tex]\frac{V}{ \pi } =r^2h[/tex]

so
[tex]60= \frac{V}{ \pi } [/tex]
[tex]V=60 \pi [/tex]

The volume of the cylinder is 60 pi cubic meters.

A cylinder is a 3-dimensional shape that consists of two parallel bases and a curved surface.

The volume of a cylinder = πr²h

The volume of a cone = [tex]\frac{1}{3}[/tex]πr²h

The volume of a cylinder is three times that of cone.

Volume of the cylinder = 20 x 3 = 60 pi cubic meters

Please find attached an image of a cylinder. To learn more about to determine the volume of a cylinder, check: https://brainly.com/question/12763699

Ver imagen ewomazinoade

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