The volume of the cone which has slant length of 5 and a diameter of 4 is 12.56 cubic units.
Volume of solid is the amount of quantity, which is obtained by the solid or object in the 3 dimensional space.
The more the volume of a object is obtains the more space. The volume of the cone can be given as,
[tex]V=\dfrac{1}{3}\pi r^2h[/tex]
Here, (r) is the radius of the base of the cone and (h) is the height of the cylinder.
The diameter of the cone is 4 units. Thus, the radius of the cone is,
[tex]r=\dfrac{4}{2}\\r=2\rm units[/tex]
As the cone has a slant length of 5. Thus, the height of the cone is,
[tex]h=\sqrt{5^2-4^2}\\h=\sqrt{9}\\h=3 \rm units[/tex]
Here, the height is 3 units and the radius 2 units long. Thus the volume of the cone is,
[tex]V=\dfrac{1}{3}\times3.14\times (2)^2\times3\\V=12.56\rm units^3[/tex]
Hence, the volume of the cone which has slant length of 5 and a diameter of 4 is 12.56 cubic units.
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