use the shell method to find the volume of the solid generated by revolving the region bounded by the given curves and lines about the y-axis. y=8-x^2,y=x^2,x=0

16π square units.

Step-by-step explanation:

Please refer to the graph below.

So, if we draw a representative rectangle, the width of the rectangle will be (x), and the height of the rectangle at each (x) will be given by f(x) - g(x).

By the shell method:

We are integrating from x = 0 to x = 2. p(x) is x and h(x) is f(x) - g(x):

Evaluate. Simplify:

Hence:

Evaluate:

what's the question?

step-by-step explanation:

there is no question.

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.