Is the common difference the same as the slope of a linear model?

The common difference is the constant rate of change, or the slope of the function. We can construct the linear function if we know the slope and the vertical intercept. To find the y-intercept of the function, we can subtract the common difference from the first term of the sequence.

  Volume of a cone =  (1/3) pi x r^2 x h

Volume of a cylinder =  pi x r^2 x h

Volume of the cylinder = pi x 2^2 x 3 = 37.68 cubic inches

Now set the volume for the cone to the volume of the cylinder and solve for the height.

37.68 = (1/3) x pi x r^2 x h

37.68 = (1/3) x pi x 3^2 x h

37.68 = (1/3) x pi x 9 x h

37.68 = 9.42 x h

h = 37.68 / 9.42

h = 4

The height of the cone is 4 cm.