a cylindrical soup can has a radius of 4.1 inches and a height of 2 inches. find the volume of this can in terms of pi

V = pi*r^2 * h

V = pi * 16.81 * 2

V = pi * 33.62

To find the volume of a cylindrical soup can, we need to use the formula for the volume of a cylinder: V = πr^2h, where π is approximately 3.14159, r is the radius of the base of the cylinder, and h is the height of the cylinder.

Given that the radius (r) of the soup can is 4.1 inches and the height (h) is 2 inches, we can substitute these values into the formula to calculate the volume:
V = π(4.1)^2(2)

Now, let's calculate the volume using the given values:

V ≈ 3.14159 * (4.1)^2 * 2
≈ 3.14159 * 16.81 * 2
≈ 105.6789 * 2
≈ 211.3578

Therefore, the volume of the cylindrical soup can, in terms of π, is approximately 211.3578 cubic inches.