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If a cone shaped vase can hold 45 cubic centimeter of water and has a radius of 2 centimeters what is the height of the vase use 3.14 for pi round to the nearest hundredth

Respuesta :

calculista

Answer:

The height of the vase is [tex]h=10.75\ cm[/tex]

Step-by-step explanation:

we know that

The volume of a cone is equal to

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

we have

[tex]V=45\ cm^{3}[/tex]

[tex]r=2\ cm[/tex]

[tex]\pi =3.14[/tex]

substitute and solve for h

[tex]45=\frac{1}{3}(3.14)(2)^{2} h[/tex]

[tex]135=(3.14)(4)h[/tex]

[tex]135=12.56h[/tex]

[tex]h=135/12.56[/tex]

[tex]h=10.75\ cm[/tex]

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