Mathematics
Grade9
Easy
Question
Find the volume of a cylinder with a diameter of 16 centimeters and a height of 5.1 centimeters.
- 108 cm3
- 396 in3
- 218.4 cm3
- 1025.4 cm 3
Hint:
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: 1025.4 cm 3
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 diameter of 16 centimeters and a height of 5.1 centimeters.
>>>Volume of a any structure = (Area of a base)
(Height)
>>>The Volume of a Cylinder = 
= (3.14)(8)(8)(5.1)
= 1024.5 cm3.
>>>Therefore, the volume of a cylinder is 1024.5 cubic centimeters.
Volume = πr2h
= π × 82 × 5.1
= 326.4π
= 1025.4 centimeters3
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