Mike created a cone that has a diameter of 8 feet and a height of 3 feet. Find the volume of this cone.

The correct answer is: 50.24 ft³

The Given Data:
Diameter of a circular base: 8 feet
We know 2radius=diameter. Then. radius=4 feet.
height of a cone = 3 feet.
Hence, Volume of a cone =  Area of a circular base  Height
Area of a circular base: r2 = 3.14 42 = 50.24 ft2 .
Volume of Cone = 50.243 = 50.24 ft3.
Hence, The volume of a cone is equal to the 50.24 cubic feet.

Cone is a 3-Dimensional Geometric Shape which has circle as a base and and the end points of a circular diameter connected at one point called as a apex or cone vertex. Since, it is a closed shape it is associated by some volume and that volume is calculated in many ways.
The cone is basic volumetric shape which has radius of the base as r and height of the cone as h. Sometimes we were given that lateral height or slant height which is called as curve tracing of end of a circle to the apex point. From figure we can define a relation for r(radius),height(h),slant Height(l) from Pythagoras theorem. That is, l2 = h2+r2.

Volume of a Cone: Cone is derived quantity from a cylinder. Hence, the portion of cone is to be noted. In general the cone surrounds 1/3rd volume of the cylinder.
hence, The volume of a cone is defined as  Area of circular base  height of the cone.
V=r2h.
From this formula we can find volume of a cone easily.