Respuesta :

amna04352

Answer:

300pi ft³

Step-by-step explanation:

Volume of cylinder = pi×r²×h

Volume of cone = ⅓×pi×r²×h

Volume of cylinder is 3 times the volume of the cone

3(100pi) = 300pi ft³

The volume of the cylinder is [tex]300\pi[/tex]

Volume of cone and cylinder:

If the radius and height of cone and cylinder are [tex]r[/tex] and [tex]h[/tex] respectively.

  •  Volume of cone is,

                  [tex]V=\frac{1}{3} \pi r^{2} h\\ \\\frac{1}{3} \pi r^{2} h=100\pi\\\\r^{2}h=300[/tex]

  • Volume of cylinder is,

             [tex]Volume=\pi r^{2} h[/tex]

Substitute value of [tex]r^{2}h[/tex] in above equation.

           [tex]Volume=300\pi[/tex]

Learn more about the cone and cylinder here:

https://brainly.com/question/22001691

Otras preguntas