The area of the base of a cylinder is 42 square inches and its height is 11 inches. A cone has the same area for its base and the same height. What is the volume of the cone?

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
.