Mathematics
Grade9
Easy

Question

Find the volume of a cylinder with a radius of 19.2 centimeters and a height of 51.9 centimeters.

  1. 60106.25 centimeters3 
  2. 389 centimeters3
  3. 1000 cm3
  4. 72010.34 cm3

hintHint:

when it comes to mensuration one can find attributes of an structure in any method. Anyhow, once one has got an expression for volume of a structure then, substitute the values given and find the values needed.

The correct answer is: 60106.25 centimeters3


    Cylinder is one of the basic 3d shapes, in geometry, which has two parallel circular bases at a distance. The two circular bases are joined by a curved surface, at a fixed distance from the center. The line segment joining the center of two circular bases is the axis of the cylinder. The distance between the two circular bases is called the height of the cylinder.
    Given That:
    the volume of a cylinder with a radius of 19.2 centimeters and a height of 51.9 centimeters.
    >>>Volume of any structure = (Area of the Base)cross times(Height)
    >>>Volume of the Cylinder   = (Area of the circular Base)cross times(Height)
                                                  = πr squared straight h
                                                  = (3.14)cross times(19.2)cross times(19.2)cross times(51.9)
    = 60106.25 centimeters3.
    >>>Hence, the volume of the Cylinder is 60106.25 cubic centimeters.

    Volume = πr2h
    = π×19.2× 51.9
    = 19132.416 π
    = 60106.25 centimeters3.

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