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A cylinder has a base diameter of 6 centimeters and a height of 15 centimeters. What
is its volume in cubic centimeters, to the nearest tenths place?​

Respuesta :

Answer:

Volume of the cylinder = [tex]442.74\,cm^3[/tex]

Step-by-step explanation:

Diameter of the cylinder = [tex]6\,cm[/tex]

Radius(r) of the base is:

                [tex]\dfrac{6}{2} =3\,cm[/tex]

Height(h) of the cylinder= [tex]15\,cm[/tex]

Volume of a cylinder is : [tex]\pi \times r^2\times h[/tex]

As,

     [tex]\pi =\dfrac{22}{7} =3.14[/tex]

Putting the values in the formula:

Volume:

                 [tex]=3.14\times(3\times3)\times15\\\\=3.14\times9\times15\\\\=3.14\times141\\\\=442.74\,cm^3[/tex]

The volume of the cylinder is: [tex]442.74\,cm^3[/tex]