How many times greater is the volume of the sphere than the volume of cone #1? round your answer to the neared tenth. use 3.14 for pi.

Respuesta :

The volume of sphere is twice the volume of cone.

What is Sphere?

A sphere is a three-dimensional solid figure, which is round in shape. From a mathematical perspective, it is a combination of a set of points connected with one common point at equal distances in three dimensions.

Here, volume of sphere = [tex]\frac{4}{3}\pi r^3[/tex]

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

Assume h = 2r

   then, volume of cone = [tex]\frac{1}{3}\pi r^2.2r[/tex]

            volume of cone  = [tex]\frac{2}{3}\pi r^3[/tex]

            volume of sphere = 2 X [tex]\frac{2}{3}\pi r^3[/tex]

            volume of sphere = 2 X volume of cone.

Thus, the volume of sphere is twice the volume of cone.

Learn more about Sphere from:

https://brainly.com/question/12390313

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