Mark Brainliest please
Volume of a cylinder: =∗2∗ℎ
V=π∗r2∗h
Volume of a cone: =∗2∗ℎ3
V=π∗r2∗h3
Where is the volume, ≈3.1416, r is the radius, and h is the height.
Cylinders and cones both have circle-bases, which means that the base area is the area of a circle: ∗2 , which means we will let =∗2
where B is the base area.
Which means that:
Volume of a cylinder: =∗ℎ
Volume of a cone: =∗ℎ3/3
If the cylinder and cone have the same base area and the same height, then the volume of the cone is always 1/3rd of the volume of the cylinder.
cone=cyl / 3
Given that the cylinder and cone have the same base area and the same height: If the volume of the cylinder is 43 cm3
, then the volume of the cone is exactly 1/3rd of 43 cm3, as shown below:
cyl=43 cm3
cone=43 cm3
=43/ 3 cm3
=14* 1/ 3 cm3
Thus the volume of the cone is 14* 1/3 cm3
.