The shape shown on the coordinate plane is rotated about the y-axis. What is the shape of the solid created by the rotation?

The cross section perpendicular to the axis of revolution has the form of a disk of radius R=f(x). Similarly, we can find the volume of the solid when the region is bounded by the curve x=f(y) and the y−axis between y=c and y=d, and is rotated about the y−axis. Figure 2. V=πd∫c[f(y)]2dy.

24 units

step-by-step explanation:

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.